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  Luis Bonilla
  Gregorio Millán Institute for Fluid dynamics, Nanoscience &
  Industrial Mathematics
  Universidad Carlos III de Madrid

 

 

Publications


Journal Publications
Reviews
s



Books

L.L. Bonilla, S.W. Teitsworth, Nonlinear wave methods for charge transport. Wiley, New,ork, 2010.

D. Reguera, G. Platero, L.L. Bonilla, J.M. Rubí (eds), Statistical and dynamical aspects of mesoscopic systems. Springer Lecture Notes in Physics 547, Springer, Berlin 2000.

D. Reguera, L.L. Bonilla, J.M. Rubí (eds), Coherent Structures in Complex systems. Springer Lecture Notes in Physics 567, Springer, Berlin 2001.

L.L. Bonilla, A. Carpio, J.M. Vega, S. Venakides (eds), Recent Advances in Nonlinear Partial Differential Equations and Applications. A Conference to honor P.D. Lax and L. Nirenberg on the occasion of their 80th birthdays. Procs. of symposia in Applied Mathematics 65, American Mathematical Society, 2007.

L.L. Bonilla, M.A. Moscoso, G. Platero, J.M. Vega (eds), Progress in Industrial Mathematics at ECMI 2006. Mathematics in Industry 12. Springer, Berlin 2008.

L.L. Bonilla (ed), Inverse Problems and Imaging. Springer Lecture Notes in Mathematics 1943, Springer, Berlin 2008.


Reviews

J.A. Acebrón, L.L. Bonilla, C.J. Pérez Vicente, F. Ritort, R. Spigler, ''The Kuramoto model: a simple paradigm for synchronization phenomena''. Rev. Mod. Phys. 77, 137-185 (2005).

L.L. Bonilla, H.T. Grahn, ''Nonlinear dynamics of semiconductor superlattices''. Rep. Prog. Phys. 68, 577-683 (2005).

L.L. Bonilla, ''Theory of Nonlinear Charge Transport, Wave Propagation and Self-oscillations in Semiconductor Superlattices''. J. Phys. Condensed Matter 14, R341-R381 (2002), topical review.


Journal Publications

S. Prabhakar, R. Melnik, L. L. Bonilla, ``Pseudospin lifetime in relaxed-shape armchair graphene nanoribbons due to in-plane phonon modes''. Phys. Rev. B 93, 115417 (2016) (6 pp). doi:10.1103/PhysRevB.93.115417.

L. L. Bonilla, M. Ruiz-Garcia, ``Critical radius and temperature for buckling in graphene''. Phys. Rev. B 93, 115407 (2016) (9 pp). doi:10.1103/PhysRevB.93.115407.

F. Terragni, M. Carretero, V. Capasso, L. L. Bonilla, ``Stochastic Model of Tumor-induced Angiogenesis: Ensemble Averages and Deterministic Equations''. Phys. Rev. E 93, 022413 (2016) (11 pp). doi:10.1103/PhysRevE.93.022413.

L.L. Bonilla, A. Glavan, A. Marquina, ``Wavelength selection of rippling patterns in myxobacteria''. Phys. Rev. E 93, 012412 (2016) (13 pp). doi:10.1103/PhysRevE.93.012412.

L.L. Bonilla, A. Carpio, C. Gong, J.H. Warner, ``Measuring strain and rotation fields at the dislocation core in graphene''. Phys. Rev. B 92, 155417 (2015) (17 pp). doi: 10.1103/PhysRevB.92.155417.

L.L. Bonilla, A. Carpio, A. Prados, ``Theory of force-extension curves for modular proteins and DNA hairpins''. Phys. Rev. E 91, 052712 (2015) (19 pp). doi: 10.1103/PhysRevE.91.052712.

M. Ruiz-Garcia, L.L. Bonilla, A. Prados, ``Ripples in hexagonal lattices of atoms coupled to Glauber spins''. J. Stat. Mech.: Theor. Experiments (2015) P05015 (16 pp). doi:10.1088/1742-5468/2015/05/P05015.

L.L. Bonilla, V. Capasso, M. Alvaro, M. Carretero, ``Hybrid modeling of tumor-induced angiogenesis''. Phys. Rev. E 90, 062716 (2014) (11 pp). doi:10.1103/PhysRevE.90.062716.

S. Prabhakar, R. Melnik, L. L. Bonilla, S. Badu, ``Thermoelectromechanical effects in relaxed-shape graphene and band structures of graphene quantum dots''. Phys. Rev. B 90, 205418 (2014) (7 pp). doi:10.1103/PhysRevB.90.205418.

L.L. Bonilla, M. Alvaro, M. Carretero, E.Ya. Sherman, ``Dynamics of optically injected currents in carbon nanotubes''. Phys. Rev. B 90, 165441 (2014) (6 pp). doi:10.1103/PhysRevB.90.165441.

L.L. Bonilla, A. Carpio, A. Prados, ``Protein unfolding and refolding as transitions through virtual states''. Europhys. Lett. - EPL 108, 28002 (2014) (6 pp). doi:10.1209/0295-5075/108/28002.

M.D. Camejo, D.R. Espeso, L.L. Bonilla, ``Influence of primary particle density in the morphology of agglomerates''. Phys. Rev. E 90, 012306 (2014) (9 pp). doi:10.1103/PhysRevE.90.012306.

M. Alvaro, M. Carretero, L.L. Bonilla, ``Noise enhanced spontaneous chaos in semiconductor superlattices at room temperature''. Europhys. Lett. - EPL 107, 37002 (2014) (6 pp). doi:10.1209/0295-5075/107/37002. Seleccionado como Editor's choice.

S. Prabhakar, R. Melnik, L.L. Bonilla, ``Gate control of Berry phase in III-V semiconductor quantum dots''. Phys. Rev. B 89, 245310 (2014) (10 pp). doi:10.1103/PhysRevB.89.245310.

L.L. Bonilla, A. Klar, S. Martin, ``Higher order averaging of Fokker-Planck equations for nonlinear fiber lay-down processes''. SIAM J. Appl. Math. 74, 366-391 (2014). doi:10.1137/130905332.

S. Prabhakar, R. Melnik, L.L. Bonilla, J.E. Reynolds, ``Spin echo dynamics under an applied drift field in graphene nanoribbon superlattices''. Appl. Phys. Lett. 103, 233112 (2013) (5 pp). doi:10.1063/1.4836395.

A.M. Lunde, C. Lopez-Monis, I.A. Vasiliadou, L.L. Bonilla, G. Platero, ``Temperature dependent dynamical nuclear polarization bistabilities in double quantum dots in the spin-blockade regime''. Phys. Rev. B 88, 035317 (2013) (24 pp). doi:10.1103/PhysRevB.88.035317.

M. Alvaro, L.L. Bonilla, M. Carretero, R.V.N. Melnik, S. Prabhakar, ``Transport in semiconductor nanowire superlattices described by coupled quantum mechanical and kinetic models''. J. Phys.: Cond. Matt. 25, 335301 (2013) (10 pp). doi:10.1088/0953-8984/25/33/335301.

A. Prados, A. Carpio, L.L. Bonilla, ``Sawtooth patterns in biomolecules force-extension curves: an equilibrium-statistical-mechanics theory''. Phys. Rev. E 88, 012704 (2013) (4 pp). doi:10.1103/PhysRevE.88.012704.

S. Prabhakar, R. Melnik, L.L. Bonilla, ``Coupled multiphysics, barrier localization, and critical radius effects in embedded nanowire superlattices''. J. Appl. Phys. 113, 244306 (2013) (12 pp). doi:10.1063/1.4812291.

O.G. Cantu Ros, G. Platero, L.L. Bonilla, ``Effects of noise on hysteresis and resonance width in graphene and nanotubes resonators''. Phys. Rev. B 87, 235424 (2013) (6 pp). doi:10.1103/PhysRevB.87.235424.

S. Prabhakar, R. Melnik, L.L. Bonilla, ``Spin transition rates in nanowire superlattices: Rashba spin-orbit coupling effects''. J. Phys. D: Appl. Phys. 46, 265302 (2013) (6 pp). doi:10.1088/0022-3727/46/26/265302.

S. Prabhakar, R. Melnik, L.L. Bonilla, ``Electrical control of phonon-mediated spin relaxation rate in semiconductor quantum dots: Rashba versus Dresselhaus spin-orbit coupling''. Phys. Rev. B 87, 235202 (2013) (6 pp). doi:10.1103/PhysRevB.87.235202.

M. Alvaro, E. Cebrian, M. Carretero, L.L. Bonilla, ``Numerical methods for kinetic equations in semiconductor superlattices''. Computer Physics Communications 184, 720-731 (2013). doi:10.1016/j.cpc.2012.11.005.

L.L. Bonilla, A. Carpio, ``Model of ripples in graphene''. Phys. Rev. B 86, 195402 (2012) (8 pp).
doi:10.1103/PhysRevB.86.195402.

L.L. Bonilla, A. Carpio, ``Ripples in a graphene membrane coupled to Glauber spins''. J. Stat. Mech.: Theor. Expts. P09015 (2012) (15 pp). doi:10.1088/1742-5468/2012/09/P09015.

L.L. Bonilla, A. Klar, S. Martin, ``Higher order averaging of linear Fokker-Planck equations with periodic forcing''. SIAM J. Appl. Math. 72, 1315-1342 (2012). doi:10.1137/11083959X.

M. D. Camejo, L.L. Bonilla, ``Theory of homogeneous vapour condensation and surface deposition from boundary layers''. J. Fluid Mech. 706, 534-559 (2012). doi:10.1017/jfm.2012.278.

A. Prados, A. Carpio, L.L. Bonilla, ``Spin-oscillator model for the unzipping of biomolecules by mechanical force''. Phys. Rev. E 86, 021919 (2012) (9 pp).
doi:10.1103/PhysRevE.86.021919.

L.L. Bonilla and A. Carpio, ``Driving Dislocations in Graphene''. Science 337, 161-162 (2012).
doi:10.1126/science.1224681.

J.I. Arana, L.L. Bonilla, ``Velocity of pulses in discrete excitable systems''. Nonlinear Anal. Real World Appl. 13, 2794-2803 (2012). doi:10.1016/j.nonrwa.2012.03.016.

M. Alvaro, M. Carretero, L. L. Bonilla, ``Numerical method for hydrodynamic modulation equations describing Bloch oscillations in semiconductor superlattices''. J. Comput. Phys. 231, 4499-4514 (2012). doi:10.1016/j.jcp.2012.02.024.

L.L. Bonilla, A. Carpio, A. Prados, R.R. Rosales, ``Ripples in a string coupled to Glauber spins''. Phys. Rev. E 85, 031125 (2012) (7 pp). doi:10.1103/PhysRevE.85.031125.

S. Prabhakar, R. V. N. Melnik, L. L. Bonilla, ``The influence of anisotropic gate potentials on the phonon induced spin-flip rate in GaAs quantum dots''. Appl. Phys. Lett. 100, 023108 (2012) (3 pp). doi:10.1063/1.3675620.

L. L. Bonilla, M. Alvaro and M. Carretero, ``Theory of spatially inhomogeneous Bloch oscillations in semiconductor superlattices''. Phys. Rev. B 84, 155316 (2011) (17 pp).

J.I. Arana, L.L. Bonilla and H.T. Grahn, ``Wave fronts, pulses and wave trains in photoexcited superlattices behaving as excitable i or oscillatory media''. J. Phys. A 44, 395003 (2011) (19 pp).

L. L. Bonilla, M. Alvaro and M. Carretero, ``Spatially confined Bloch oscillations in semiconductor superlattices''. Europhys. Lett. 95, 47001 (2011) (5 pp). ArXiv:1104.429.

L.L. Bonilla, A. Carpio, ``Theory of defect dynamics in graphene: defect groupings and their stability''. Continuum Mech. Thermodyn. 23, 337-346 (2011). arXiv:1101.5818.

M. Alvaro, L.L. Bonilla, ''Nonequilibrium free energy H theorem and self-sustained oscillations for Boltzmann-BGK descriptions of semiconductor superlattices''. J. Stat. Mech.: theory and Experiment (2011) P01018 (15 pp). arXiv: 1011.3007.

L.L. Bonilla, A. Prados, A. Carpio, ''Nonequilibrium dynamics of a fast oscillator coupled to Glauber spins''. J. Stat. Mech.: theory and Experiment (2010) P09019 (32 pp). doi: 10.1088/1742-5468/2010/09/P09019. arXiv:1007.1806.

M. Alvaro, L.L. Bonilla, ''Two mini-band model for self-sustained oscillations of the current through resonant tunneling semiconductor superlattices''. Phys. Rev. B 82, 035305 (2010) (8 pages). arXiv: 1006.2394.

A. Prados, L.L. Bonilla, A. Carpio, ''Phase transitions in a mechanical system coupled to Glauber spins''. J. Stat. Mech.: theory and Experiment (2010) P06016 (22 pp). arXiv:1004.3215.

R. Escobedo, M. Carretero, L.L. Bonilla, G. Platero, ''Phase diagrams and switching of voltage and magnetic field in dilute magnetic semiconductor nanostructures''. Physica Status Solidi RRL 4, 76-78 (2010).

J.I. Arana, L.L. Bonilla, H.T. Grahn, ''Photo-excited semiconductor superlattices as constrained excitable media: Motion of dipole domains and current self-oscillations''. Phys. Rev. B 81, 035322 (2010) (8 pages). arXiv:0912.4897.

R. Escobedo, M. Carretero, L.L. Bonilla, G. Platero, ''Magnetoswitching of current oscillations in dilute magnetic semiconductor nanostructures''. Phys. Rev. B 80, 155202 (2009) (6 pages). Virtual Journal of Nanoscale Science & Technology 20, issue 17, October 26, 2009.

E. Cebrian, L.L. Bonilla, A. Carpio, ''Self-sustained current oscillations in the kinetic theory of semiconductor superlattices''. J. Comput. Phys. 228, 7689-7705 (2009). doi:10.1016/j.jcp.2009.07.008. ArXiv:0907.3807.

I. Plans, A. Carpio, L.L. Bonilla, ''Toy nanoindentation model and incipient plasticity'', Chaos, Solitons & Fractals 42, 1623-1630 (2009).

J. C. Neu, A. Carpio, L.L. Bonilla, ''Theory of surface deposition from boundary layers containing condensable vapour and particles'', J. Fluid Mech. 626, 183-210 (2009).

R. Escobedo, M. Carretero, L.L. Bonilla, G. Platero, ''Self-sustained spin-polarized current oscillations in multiquantum well structures'', New J. Phys. 11, 013033 (2009) (19 pages). Virtual Journal of Nanoscale Science & Technology 19, issue 7, February 16, 2009.

M. Carretero, R. Escobedo, L.L. Bonilla, G. Platero, ''Self-sustained spin-polarized current oscillations in diluted magnetic semiconductor superlattices'', IEEE Trans. Magn. 44, 2662-2665 (2008).

L.L. Bonilla, L. Barletti, M. Alvaro, ''Nonlinear electron and spin transport in semiconductor superlattices'', SIAM J. Appl. Math. 69, 494-513 (2008).

A. Carpio, L.L. Bonilla, ''Periodized discrete elasticity models for defects in graphene'', Phys. Rev. B 78, 085406 (2008) (11 pages). Virtual Journal of Nanoscale Science & Technology 18, issue 7, August 18, 2008.

R. Escobedo, M. Carretero, L.L. Bonilla, G. Platero, ''Self-Sustained Current Oscillations in a MultiQuantum Well Spin Polarized Structure with Normal Contacts''. Physica status solidi (a) 205(6), 1270-1275 (2008).

A. Carpio, L.L. Bonilla, F. de Juan, M.A.H. Vozmediano, ''Dislocations in graphene''. New J. Phys. 10, 053021 (2008) (13 pages).

J.I. Arana, L.L. Bonilla, H.T. Grahn, ''Homogeneous nucleation of opposite moving dipole domains and current self-oscillations in undoped photoexcited superlattices''. Physica E 40 (5), 1209-1211 (2008).

M. Carretero, R. Escobedo, L.L. Bonilla, G. Platero, ''Multiquantum well spin polarized current oscillator''. Physica E 40(5), 1099-1101 (2008).

I. Plans, A. Carpio, L.L. Bonilla, ''Homogeneous nucleation of dislocations as bifurcations in a periodized discrete elasticit, model''. EuroPhys. Lett. 81, 36001 (2008) (6 pages). arXiv/0711.3744.

L.L. Bonilla, T. Gotz, A. Klar N. Marheineke, R. Wegener, ''Hydrodynamic limit of the Fokker--Planck equation describing fiber lay--down processes''. SIAM J. Appl. Math. 68, 648-665 (2007).

L.L. Bonilla, M. Carretero, J. B. Keller, ''Homogeneous branched-chain explosions''. SIAM J. Appl. Math. 68, 619-628 (2007).

L.L. Bonilla, R. Escobedo, M. Carretero, G. Platero, ''Multiquantum well spin oscillator''. Appl. Phys. Lett. 91, 092102 (2007) (3 pages). Virtual Journal of Nanoscale Science & Technology 16, issue 11, September 10, 2007.

G. Dell'Acqua, L.L. Bonilla, R. Escobedo, ''Relocation dynamics and multistable switching in semiconductor superlattices''. J. Comput. Appl. Math. 204, 18-24 (2007).

A. Carpio, L.L. Bonilla e I. Plans, ''Dislocations in cubic crystals described by discrete models''. Physica A 376, 361-377 (2007).

L.L. Bonilla, C. J. Pérez Vicente, F. Ritort, J. Soler, ''Exact solutions and dynamics of globally coupled oscillators''. Math. Mod. Meth. Appl. Sci. (M3AS) 16(12), 1919-1959 (2006).

L.L. Bonilla, A. Carpio, J. C. Neu, W. G. Wolfer, ''Kinetics of helium bubble formation in nuclear materials''. Physica D 222, 131-140 (2006).

R. Escobedo, L.L. Bonilla, ''Numerical methods for a quantum drift-diffusion equation in semiconductor Physics''. J. Math. Chem. 40, 3-13 (2006).

L.L. Bonilla, A. Carpio, Y. Farjoun, J. C. Neu, ''Asymptotic and numerical studies of the Becker-Doring model for transient homogeneous nucleation''. Markov Processes and Related Fields 12, 341-365 (2006).

L.L. Bonilla, R. Escobedo, G. Dell'Acqua, ''Voltage switching and domain relocation in semiconductor superlattices''. Phys. Rev. B 73, 115341/1--13 (2006).

L.L. Bonilla, R. Escobedo, ''Wigner-Poisson and nonlocal drift-diffusion model equations for semiconductor superlattices''. Math. Mod. Meth. Appl. Sci. 15(8), 1253-1272 (2005).

A. Carpio, L.L. Bonilla, ''Discrete models of dislocations and their motion in cubic crystals''. Phys. Rev. B 71, 134105/1-10 (2005).

L.L. Bonilla, M. Kindelan, J.B. Keller, ''Periodically generated propagating pulses''. SIAM J. Appl. Math. 65, 1053-1079 (2005).

J.A. Acebron, L.L. Bonilla, C. J. Perez Vicente, F. Ritort, R. Spigler, ''The Kuramoto model: a simple paradigm for synchronization phenomena''. Rev. Mod. Phys. 77, 137-185 (2005).

J.C. Neu, L.L. Bonilla, A. Carpio, ''Igniting homogeneous nucleation''. Phys. Rev. E 71, 021601/1--14 (2005).

L.L. Bonilla, H.T. Grahn, ''Nonlinear dynamics of semiconductor superlattices''. Rep. Prog. Phys. 68, 577-683 (2005).

L.L. Bonilla, ''theory of charge fluctuations and domain relocation times in semiconductor superlattices''. Physica D 199, 105-114 (2004).

T. Goudon, O. Sanchez, J. Soler, L.L. Bonilla, ''Low-field limit for a nonlinear discrete drift-diffusion model arising in semiconductor superlattices theory''. SIAM J. Appl. Math. 64, 1526-1549 (2004).

A. Perales, L.L. Bonilla, R. Escobedo, ''Miniband transport and oscillations in semiconductor superlattices''. Nanotech. 15, S229-S233 (2004).

L.L. Bonilla, R. Escobedo, A. Perales, ''Generalized drift-diffusion model for miniband superlattices''. Phys. Rev. B 68, 241304(R)/1-4 (2003). Virtual Journal of Nanoscale Science & Technology 8, issue 26, December 29, 2003. cond-mat/0310451.

A. Carpio, L.L. Bonilla, ''Oscillator, wave fronts in chains of coupled nonlinear oscillators''. Phys. Rev. E 67, 056621/1-11 (2003). cond-mat/0303576.

A. Carpio, L.L. Bonilla, ''Edge dislocations in crystal structures considered as traveling waves of discrete models''. Phys. Rev. Lett. 90, 135502/1-4 (2003). Phys. Rev. Lett. 91, 029901(E) (2003). cond-mat/0302556.

L.L. Bonilla, R. Escobedo, F.J. Higuera, ''Free-boundary problems describing two-dimensional pulse recycling and motion in semiconductors''. Phys. Rev. E 67, 036202/1--8 (2003).

A. Carpio, L.L. Bonilla, ''Depinning transitions in discrete reaction-diffusion equations''. SIAM J. Appl. Math. 63, 1056-1082 (2003).

R. Escobedo, L.L. Bonilla, ''Wave dynamics in two-dimensional samples of n-GaAs with point contacts''. Chaos, Solitons and Fractals 17, 283-288 (2003).

A. Carpio, L.L. Bonilla, ''Pulse propagation in discrete systems of coupled excitable cells''. SIAM J. Appl. Math. 63, 619-635 (2003).

J.C. Neu, J.A. Cañizo, L.L. Bonilla, ''Three eras of micellization''. Phys. Rev. E 66, 061406/1--9 (2002). Virtual Journal of Nanoscale Science & Technology 7, issue 2, January 13, 2003.

D. Sanchez, L.L. Bonilla, G. Platero, ''Temperature-induced breakdown of stationary electric field domains in superlattices''. Physica E 13(2-4), 798-801 (2002).

L.L. Bonilla, O. Sanchez, J. Soler, ''Nonlinear stochastic discrete drift-diffusion theory of charge fluctuations and domain relocation times in semiconductor superlattices''. Phys. Rev. B 65, 195308/1-8 (2002).

L.L. Bonilla, ''Theory of Nonlinear Charge Transport, Wave Propagation and Self-oscillations in Semiconductor Superlattices''. J. Phys. Condensed Matter 14, R341-R381 (2002), topical review.

A. Carpio, L.L. Bonilla, A. Luzon, ''Effects of disorder on the wave front depinning transition in spatially discrete systems''. Phys. Rev. E 65, 035207 (R)/1-4 (2002).

L.L. Bonilla, R. Escobedo, F. J. Higuera, ''Axisymmetric pulse recycling and motion in bulk semiconductors''. Phys. Rev. E 65, 016607/1-8 (2002).

A. Perales, L.L. Bonilla, M. Moscoso, J. Galan, ''Spatio temporal structures in undoped photoexcited semiconductor superlattices''. Int. J. Bifurcations and Chaos 11(11), 2817-2822 (2001).

L.L. Bonilla, J. Soler, ''High-field limit of the Vlasov-Poisson-Fokker-Planck system: A comparison of different perturbation methods''. Math. Mod. Meth. Appl. Sci. 11(8), 1457-1468 (2001).

D. Sanchez, L.L. Bonilla, G. Platero, ''Temperature dependence of current self-oscillations and electric field domains in sequential tunneling doped superlattices''. Phys. Rev. B 64, 115311/1-6 (2001).

A. Carpio, L.L. Bonilla, G. Dell'Acqua, ''Motion of Wave Fronts in Semiconductor Superlattices''. Phys. Rev. E 64, 036204/1--9 (2001).

L.L. Bonilla, R. Escobedo, ''Two-dimensional oscillator, patterns in semiconductors with point contacts''. Phys. Rev. E 64, 036203/1--4 (2001).

A. Carpio, L.L. Bonilla, ''Wavefront depinning transition in discrete one-dimensional reaction-diffusion systems''. Phys. Rev. Lett. 86, 6034-6037 (2001).

A. Amann, A. Wacker, L.L. Bonilla, E. Scholl, ''Dynamic scenarios of multi-stable switching in semiconductor superlattices''. Phys. Rev. E 63, 066207/1-8 (2001).

D. Sanchez, G. Platero, L.L. Bonilla, ''Quasiperiodic current and strange attractors in AC driven superlattices''. Phys. Rev. B 63, 201306 (R) 1-4 (2001).

I.R. Cantalapiedra, M. J. Bergmann, L.L. Bonilla, S. W. Teitsworth, ''Chaotic motion of space charge waves in semiconductors under time-independent voltage bias''. Phys. Rev. E 63, 056216/1-7 (2001).

L.L. Bonilla, ''Chapman-Enskog method and synchronization of globally coupled oscillators''. Phys. Rev. E 62, 4862-4868 (2000).

J.A. Acebron, L.L. Bonilla, R. Spigler, ''Synchronization in populations of globally coupled oscillators with inertial effects''. Phys. Rev. E 62, 3437-3454 (2000).

L.L. Bonilla, A.L. Sanchez, M. Carretero, ''The description of homogeneous branched-chain explosions with slow radical recombination by self-adjusting time scales''. SIAM J. Appl. Math. 61, 528-550 (2000).

L.L. Bonilla, G. Platero, D. Sanchez, ''Microscopic derivation of transport coefficients and boundary conditions in discrete drift-diffusion models of weakly coupled superlattices''. Phys. Rev. B 62, 2786-2796 (2000).

M. A. Moscoso, J. Galan, L.L. Bonilla, ''Bifurcation behavior of a superlattice model''. SIAM J. Appl. Math. 60, 2029-2057 (2000).

A. Carpio, L.L. Bonilla, A. Wacker, E. Scholl, ''Wavefronts may move upstream in semiconductor superlattices''. Phys. Rev. E 61, 4866-4876 (2000).

D. Sanchez, M. Moscoso, L.L. Bonilla, G. Platero, R. Aguado, ''Dynamics of electric field domain walls in semiconductor superlattices''. Physica E 7, 299-301 (2000).

O.M. Bulashenko, K.J. Luo, H.T. Grahn, K.H. Ploog, L.L. Bonilla, ''Multifractal dimension of chaotic attractors in a driven semiconductor superlattice''. Phys. Rev. B 60, 5694-5697 (1999).

D. Sanchez, M. Moscoso, L.L. Bonilla, G. Platero, R. Aguado, ''Current self-oscillations, spikes and crossover between charge monopole and dipole waves in semiconductor superlattices''. Phys. Rev. B 60, 4489-4492 (1999).

L.L. Bonilla, V.A. Kochelap, C.A. Velasco, ''Pattern formation and pattern stability under bistable electro-optical absorption in quantum wells. II''. J. Phys.: Condensed Matter 11, 6413-6426 (1999).

L.L. Bonilla, V.A. Kochelap, C.A. Velasco, ''Pattern formation and pattern stability under bistable electro-optical absorption in quantum wells. I''. Journal of Physics: Condensed Matter 11, 6395-6411 (1999).

L.L. Bonilla, P.J. Hernando, M. Kindelan, F. Piazza, ''Determination of EL2 capture and emission coefficients in semi-insulating n-GaAs''. Appl. Phys. Lett. 74, 988-990 (1999).

V.A. Kochelap, L.L. Bonilla, C.A. Velasco, ''Dynamical behaviour of photo-excited and voltage biased MQW structures with bistable electro-optical absorption''. J. Opt. B: Quantum Semiclass. Opt. 1, 84-89 (1999).

L.L. Bonilla, C.J. Perez Vicente, F. Ritort, J. Soler, ''Exactly solvable phase oscillator models with synchronization dynamics''. Phys. Rev. Lett. 81, 3643-3646 (1998).

N. Ohtani, N. Egami, H.T. Grahn, K.H. Ploog, L.L. Bonilla, ''The transition between static and dynamic electric-field domain formation in weakly-coupled GaAs/AlAs superlattices''. Phys. Rev. B 58, R7528-R7531 (1998).

L.L. Bonilla, M. Kindelan, P.J. Hernando, ''Photorefractive Gunn effect''. Phys. Rev. B 58, 7046-7050 (1998).

K.J. Luo, H.T. Grahn, K.H. Ploog, L.L. Bonilla, ''Explosive bifurcation to chaos in weakly-coupled semiconductor superlattices''. Phys. Rev. Lett. 81, 1290-1293 (1998).

J.A. Acebron, L.L. Bonilla, S. De Leo, R. Spigler, ''Breaking the symmetry in bimodal frequency distributions of globally coupled oscillators''. Phys. Rev. E 57, 5287-5290 (1998).

L.L. Bonilla, V.A. Kochelap, C.A. Velasco, ''Patterns under Quantum Confined Stark Effect''. J. Phys. Condensed Matter 10, L539-L546 (1998).

L.L. Bonilla, F.G. Padilla, F. Ritort, ''Aging in the linear harmonic oscillator''. Physica A 250, 315-326 (1998).

O.M. Bulashenko, V.A. Kochelap, L.L. Bonilla, ''Coherent patterns and self-focusing of electrons by a thin nonlinear barrier''. Superlattices and Microstructures 23, 467-470 (1998).

L.L. Bonilla, O.M. Bulashenko, ''Forcing of chaos in semiconductor superlattices''. Superlattices and Microstructures 23, 13-17 (1998).

C.A. Velasco, L.L. Bonilla, V.A. Kochelap, ''Pattern Formation and Stability under Bistable Electro-Optical Absorption''. Microelectronic Eng. 43-44, 153-163 (1998).

V.A. Kochelap, L.L. Bonilla, C.A. Velasco, ''Switching-on and -off dynamics of MQW structures with bistable electro-optical absorption''. Semicond. Physics. Quantum Electron. Optoelectron. 1, 50-56 (1998).

J.A. Acebron, L.L. Bonilla, ''Asymptotic description of transients and synchronized states of globally coupled oscillators''. Physica D 114, 296-314 (1998).

L.L. Bonilla, C.J. Perez Vicente, R. Spigler, ''Time-periodic phases in populations of nonlinearly coupled oscillators with bimodal frequency distributions''. Physica D 113, 79-97 (1998).

V.A. Kochelap, L.L. Bonilla, V.N. Sokolov, C.A. Velasco, ''Lateral electron-hole plasma domains under bistable electro-optical absorption in quantum wells''. Physica Status Solidi B 204, 559-562 (1997).

J.W. Kantelhardt, H.T. Grahn, K.H. Ploog, M. Moscoso, A. Perales, L.L. Bonilla, ''Spikes in the current self-oscillations of doped GaAs/AlAs superlattices''. Physica Status Solidi B 204, 500-503 (1997).

L.L. Bonilla, M. Kindelan, M. Moscoso, S. Venakides, ''Periodic generation and propagation of traveling fronts in dc voltage biased semiconductor superlattices''. SIAM J. Appl. Math. 57, 1588-1614 (1997).

L.L. Bonilla, J.A. Carrillo, J. Soler, ''Asymptotic behavior of an initial-boundary value problem for the Vlasov-Poisson-Fokker-Planck system''. SIAM J. Appl. Math. 57, 1343-1372 (1997).

L.L. Bonilla, P.J. Hernando, M.A. Herrero, M. Kindelan, J.J.L. Velazquez, ''Asymptotics of the trap-dominated Gunn effect in p-type Ge''. Physica D 108, 168-190 (1997).

L.L. Bonilla, I.R. Cantalapiedra, ''Universality of the Gunn effect: self-sustained oscillations mediated by solitary waves''. Phys. Rev. E 56, 3628-3632 (1997).

L.L. Bonilla, I.R. Cantalapiedra, G. Gomila, J.M. Rubí, ''Asymptotic analysis of the Gunn effect with realistic boundary conditions''. Phys. Rev. E 56, 1500-1510 (1997).

G. Gomila, J.M. Rubí, I.R. Cantalapiedra, L.L. Bonilla, ''Stationary states and phase diagram for a model of the Gunn effect under realistic boundary conditions''. Phys. Rev. E 56, 1490-1499 (1997).

R. Aguado, G. Platero, M. Moscoso, L.L. Bonilla, ''Microscopic Model for Sequential Tunneling in Semiconductor Multiple Quantum Wells''. Phys. Rev. B 55, R16053-R16056 (1997).

J. Kastrup, H.T. Grahn, R. Hey, K. Ploog, L.L. Bonilla, M. Kindelan, M. Moscoso, A. Wacker, J. Galan, ''Electrically tunable GHz oscillations in doped GaAs-AlAs superlattices''. Phys. Rev. B 55, 2476-2488 (1997).

A. Wacker, M. Moscoso, M. Kindelan, L.L. Bonilla, ''Current-voltage characteristic and stability in resonant-tunneling n-doped semiconductor superlattices''. Phys. Rev. B 55, 2466-2475 (1997).

M. Kindelan, F.J. Higuera, L.L. Bonilla, ''Onset of the Gunn effect in semiconductors: bifurcation analysis and numerical simulations''. Z. Angew. Math. Mech. (ZAMM) 76 (suppl. 2), 575-576 (1996).

L.L. Bonilla, J.A. Carrillo, J. Soler, ''Asymptotic behaviour of the Vlasov-Poisson-Fokker-Planck system in bounded domains''. Z. Angew. Math. Mech. (ZAMM) 76 (suppl. 2), 485-486 (1996).

A. Arnold, L.L. Bonilla, P.A. Markowich, ''Liapunov functionals and large-time-asymptotics of mean-field nonlinear Fokker-Planck equations''. Transp. theory and Stat. Phys. 25, 733-751 (1996).

L.L. Bonilla, F. Padilla, G. Parisi, F. Ritort, ''Closure of the Monte Carlo dynamical equations in the spherical Sherrington-Kirkpatrick model''. Phys. Rev. B 54, 4170-4182 (1996).

O. M. Bulashenko, V.A. Kochelap, L.L. Bonilla, ''Coherent patterns and self-induced diffraction of electrons on a thin nonlinear layer''. Phys. Rev. B 54, 1537-1540 (1996).

O.M. Bulashenko, M. J. Garcia, L.L. Bonilla, ''Chaotic dynamics of electric-field domains in periodically driven superlattices''. Phys. Rev. B 53, 10008-10018 (1996).

L.L. Bonilla, J. A. Carrillo, J. Soler, ''H-theorem for electrostatic or self-gravitating Vlasov-Poisson-Fokker-Planck systems''. Phys. Lett. A 212, 55-59 (1996).

L.L. Bonilla, F. Padilla, G. Parisi, F. Ritort, ''Analytical solution of the Monte Carlo dynamics of a simple spin-glass model''. EuroPhys. Lett. 34 (3), 159-164 (1996).

C.J. Perez Vicente, A. Arenas, L.L. Bonilla, ''On the short time dynamics of networks of Hebbian coupled oscillators''. J. Phys. A 29, L9-L16 (1996).

M.J. Bergmann, S.W. Teitsworth, L.L. Bonilla e I.R. Cantalapiedra, ''Solitary-wave conduction in p-type Ge under time-dependent voltage bias''. Phys. Rev. B 53, 1327-1335 (1996).

L.L. Bonilla, O.M. Bulashenko, J. Galan, M. Kindelan, M. Moscoso, ''Dynamics of electric-field domains and chaos in semiconductor superlattices''. Solid State Electron. 40, 161-165 (1996).

H.T. Grahn, J. Kastrup, K. Ploog, L.L. Bonilla, J. Galan, M. Kindelan, M. Moscoso, ''Self-Oscillations of the Current in Doped Semiconductor Superlattices''. Japn. J. Appl. Phys. 34, 4526-4530 (1995).

J. Kastrup, R. Klann, H.T. Grahn, K. Ploog, L.L. Bonilla, J. Galan, M. Kindelan, M. Moscoso, R. Merlin, ''Self-oscillations of domains in doped GaAs-AlAs superlattices''. Phys. Rev. B 52, 13761-13764 (1995).

O.M. Bulashenko, L.L. Bonilla, ''Chaos in resonant-tunneling superlattices''. Phys. Rev. B 52, 7849-7852 (1995).

S. H. Kwok, T. B. Norris, L.L. Bonilla, J. Galan, J. A. Cuesta, F.C. Martinez, J.M. Molera, H. T. Grahn, K. Ploog, R. Merlin, ''Domain wall kinetics and tunneling-induced instabilities in superlattices''. Phys. Rev. B 51, 10171-10174 (1995).

L.L. Bonilla, F. J. Higuera, ''The Onset and End of the Gunn Effect in Extrinsic Semiconductors". SIAM J. on Applied Mathematics 55, 1625-1649 (1995).

L.L. Bonilla, J. Galan, J. A. Cuesta, F.C. Martinez, J. M. Molera, ''Dynamics of electric field domains and oscillations of the photocurrent in a simple superlattice model''. Phys. Rev. B 50, 8644-8657 (1994).

L.L. Bonilla, F. Higuera, S. Venakides, ''The Gunn effect: Instability of the stead, state and stability of the solitary wave in long extrinsic semiconductors'', SIAM J. Appl. Math., 54, 1521-1541 (1994).

L.L. Bonilla, I.R. Cantalapiedra, M.J. Bergmann, S.W. Teitsworth, ''Onset of current oscillations in extrinsic semiconductors''. Semiconductor Sci. Technol. 9, 599-602 (1994).

I.R. Cantalapiedra, L.L. Bonilla, M.J. Bergmann, S.W. Teitsworth, ''Solitary wave dynamics in extrinsic semiconductors under dc voltage bias''. Physical Review B 48, 12278-12281 (1993).

L.L. Bonilla, C. Perez-Vicente, J. M. Rubi, ''Glass, synchronization in a population of coupled oscillators". Journal of Statistical Physics 70, 921-935 (1993).

L.L. Bonilla, F. Guinea, ''Collapse of the wavepacket and chaos in a model with classical and quantum degrees of freedom". Physical Review A 45, 7718-7728 (1992).

L.L. Bonilla, J. C. Neu, R. Spigler, ''Nonlinear stability of incoherence and collective synchronization in a population of coupled oscillators". Journal of Statistical Physics 67, 313-330 (1992).

L.L. Bonilla, ''Small signal analysis of spontaneous current instabilities in extrinsic semiconductors with trapping: application to p-type ultrapure Germanium". Physical Review B 45, 11642-11654 (1992).

F.J. Higuera, L.L. Bonilla, ''Gunn instability in finite samples of GaAs. II Oscillator, states in long samples". Physica D 57, 161-184 (1992). Addendum Physica D 63, 437 (1993).

L.L. Bonilla, ''Theory of solitary waves and spontaneous current instabilities in dc voltage biased extrinsic semiconductors". Physica D 55, 182-196 (1992).

L.L. Bonilla, F. Guinea, ''Reduction of the wavepacket through classical variables". Physics Letters B 271, 196-200 (1991).

L.L. Bonilla, J.M. Vega, ''On the stability of wavefronts and solitary space charge waves in extrinsic semiconductors under current bias". Physics Letters A 156, 179-182 (1991).

L.L. Bonilla, B.A. Malomed, ''Motion of kinks for the ac-driven damped Frenkel-Kontorova chain". Physical Review B (Rapid Communications) 43, 11539-11541 (1991).

L.L. Bonilla, F.J. Higuera, ''Gunn instability in finite samples of GaAs. I Stationary states, stability and boundary conditions". Physica D 52, 458-476 (1991).

L.L. Bonilla, F.J. Higuera, J.M. Vega, ''Stability of stationary solutions of extended reaction-diffusion-convection equations on a finite segment". Applied Mathematics Letters 4 (3), 41-44 (1991).

L.L. Bonilla, S.W. Teitsworth, ''Theory of periodic and solitary space charge waves in extrinsic semiconductors". Physica D 50, 545-559 (1991).

L.L. Bonilla, ''Solitary waves in semiconductors with finite geometry and the Gunn effect". SIAM Journal on Applied Mathematics 51, 727-747 (1991).

L.L. Bonilla, J.M. Casado, ''dynamics of a soft-spin van Hemmen model. I. Phase and bifurcation diagrams for stationary distributions". Journal of Statistical Physics 56, 113-125 (1989).

L.L. Bonilla, ''A Nonequilibrium Statistical Mechanics model showing self-sustained oscillations". Physical Review Letters 60, 1398-1401 (1988).

L.L. Bonilla, J. M. Casado, M. Morillo, ''Self-Synchronization of Populations of Nonlinear Oscillators in the Thermodynamic Limit". Journal of Statistical Physics 48, 571-591 (1987). (E) 50, 849-850 (1988).

L.L. Bonilla, ''Stable Probability Densities and Phase Transitions for Mean-Field Models in the Thermodynamic Limit". Journal of Statistical Physics 46, 659-678 (1987).

L.L. Bonilla, ''Nonequilibrium Phase Transition to a Time-Dependent Probability Densit, for a Model of Charge-Densit, Waves". Physical Review B 35, 3637-3639 (1987).

J.B. Keller, L.L. Bonilla, ''Irreversibility and Nonrecurrence". Journal of Statistical Physics 42, 1115-1125 (1986).

L.L. Bonilla, J.B. Keller, ''Acoustoelastic Effect and Wave Propagation in Heterogeneous Weakly Anisotropic Materials". Journal of the Mechanics and Physics of Solids 33, 241-261 (1985).

L.L. Bonilla, ''Effective Elastic Constants of Polycrystalline Aggregates". Journal of the Mechanics and Physics of Solids 33, 227-240 (1985).

L.L. Bonilla, A. Liñan, ''Relaxation Oscillations, Pulses and Traveling Waves in the Diffusive Volterra Delay-Differential Equation". SIAM Journal on Applied Mathematics 44, 369-391 (1984).

J.C. Antoranz, L.L. Bonilla, J. Gea, M.G. Velarde, ''Bistable Limit cycles in a Model for a Laser with Saturable Absorber". Physical Review Letters 49, 35-38 (1982).

L.L. Bonilla, A. Fernandez-Cancio, M. G. Velarde, ''The Spruce Budworm-Forest Ecosystem: A Fort,,ear Limit cycle". Journal of Interdisciplinary cycle Research 13, 313-316 (1982).

A. Pimpale, P.T. Landsberg, L.L. Bonilla, M. G. Velarde, ''Limit cycle in a Bound Exciton Recombination Model in Nonequilibrium Semiconductors''. Journal of the Physics and Chemistry of Solids 42, 873-881 (1981).

L.L. Bonilla, M. G. Velarde, ''Time Delay, Diffusion and Advection in a Model for the Time Evolution of a Spruce-Budworm Population". Journal of Interdisciplinary cycle Research 12, 267-272 (1981).

L.L. Bonilla, M. G. Velarde, ''Localized Nonuniform Patterns in a Diffusion-Reaction Model with Autocatalysis and the Langmuir-Hinshelwood Saturation Law". Journal of Mathematical Physics 21, 2586-2589 (1980).

L.L. Bonilla, M. G. Velarde, ''Singular Perturbation Approach to the Limit cycle and Global Patterns in a Nonlinear Diffusion-Reaction Problem with Autocatalysis and the H inshelwood-Langmuir Saturation Law". Journal of Mathematical Physics 20, 2692-2703 (1979).


Book chapters and Proceedings

S. Prabhakar, R. Melnik and L.L. Bonilla, ``Spin Control in Quantum Dots for Quantum Information Processing'', in Nanotechnology in the Security Systems. Edited by J. Bonca and S. Kruchinin., NATO Science for Peace and Security Series C: Environmental Security, pp. 3-13 Springer, Dordrecht, 2015. doi:10.1007/978-94-017-9005-5_1.

A. Prados, L.L. Bonilla and A. Carpio, ``Static and dynamics of an harmonic oscillator coupled to a one-dimensional Ising system''. AIP Conference Procs. 1332, 232-234 (2011).

L. L. Bonilla and A. Carpio, ``Theory of defect dynamics in graphene''. Chapter 9, pp. 167-182 in Graphene Simulation. Edited by Jian Ru Gong., Intech, 2011.

M. Carretero, M. Alvaro and L. L. Bonilla, ``Spatially confined Bloch oscillations in semiconductor superlattices'', in Numerical Analysis and Applied Mathematics ICNAAM 2011, T.E. Simos, G. Psihoyios, Ch. Tsitouras and Z. Anastassi, eds. American Institute of Physics Conference Proceedings Vol. 1389, 1442-1445 (2011)., Melville, N.Y., 2011.

M. Carretero, L.L. Bonilla and J.B. Keller, ''Homogeneous Branched-Chain Explosions'', in Progress in Industrial Mathematics at ECMI 2008, A.D. Fitt, J. Norbury, H. Ockendon and R.E. Wilson, eds. Mathematics in Industry 15, pp. 759-764. Springer, Berlin 2010.

R. Escobedo, M. Carretero, L.L. Bonilla and G. Platero, ''Relocation Dynamics during Voltage Switching in Spin-Polarized Superlattices'', in Progress in Industrial Mathematics at ECMI 2008, A.D. Fitt, J. Norbury, H. Ockendon y R.E. Wilson, eds. Mathematics in Industry 15, pp.159-165. Springer, Berlin 2010.

M. Carretero, L.L. Bonilla, R. Escobedo and G. Platero, ''Self-Sustained Spin-Polarized Current Oscillations in Multiquantum Well Structures'', in Progress in Industrial Mathematics at ECMI 2008}, A.D. Fitt, J. Norbury, H. Ockendon y R.E. Wilson, eds. Mathematics in Industry 15, pp. 47-52. Springer, Berlin 2010.

L.L. Bonilla, L. Barletti and M. Alvaro, ''Nonlinear Electron and Spin Transport in Semiconductor Superlattices'', in Progress in Industrial Mathematics at ECMI 2008, A.D. Fitt, J. Norbury, H. Ockendon y R.E. Wilson, eds. Mathematics in Industry 15, pp.141-146. Springer, Berlin 2010.

J. C. Neu, A. Carpio and L. L. Bonilla, ''Theory of surface deposition from boundary layers containing condensable vapor and particles'', in Progress in Industrial Mathematics at ECMI 2008, A.D. Fitt, J. Norbury, H. Ockendon y R.E. Wilson, eds. Mathematics in Industry 15 pp. 69-474. Springer, Berlin 2010.

L.L. Bonilla, A. Carpio, H. Grahn, G. Dell'Acqua and I. Arana, ''Waves in nonlinear discrete systems'', en Oberwolfach reports {\bf 6} (in Report 57/2009 Material Theories), EMS Publishing House, 2010. DOI: 10.4171/OWR/2009/57.

L. L. Bonilla, A. Carpio and J.C. Neu, ''Heterogeneous vapor condensation in boundary layers'', in Numerical Analysis and Applied Mathematics, T.E. Simos, G. Psihoyios y Ch. Tsitouras, eds. Pp.~917-920. American Institute of Physics Proceedings 1048, Melville, N.Y., 2008.

J.I. Arana and L.L. Bonilla, ''Homogeneous nucleation of dipole domains and current self-oscillations in photoexcited semiconductor superlattices'', in Progress in Industrial Mathematics at ECMI 2006}, L.L. Bonilla, M.A. Moscoso, G. Platero and J.M. Vega, eds. Mathematics in Industry 12, pp. 812-816. Springer, Berlin 2008.

I. Plans, A. Carpio, L.L. Bonilla y R. Caflisch, ''Critical thickness for misfit dislocation formation in InAs/GaAs(110) heteroepitaxy'', en {\em Progress in Industrial Mathematics at ECMI 2006}, L.L. Bonilla, M.A. Moscoso, G. Platero and J.M. Vega, eds. Mathematics in Industry 12, pp.381-386. Springer, Berlin 2008.

L.L. Bonilla and A. Carpio, ''Depinning and motion of crystal dislocations'', in Continuum Models and Discrete Systems CMDS 11, D. Jeulin y S. Forest, eds. pp. 259-264. Mines Paris, Paristech, \`Ecole des mines de Paris, France, 2008.

A. Carpio, I. Plans and L.L. Bonilla, ''Homogeneous nucleation of dislocations'', in Continuum Models and Discrete Systems CMDS 11, D. Jeulin and S. Forest, eds. pp. 265-270. Mines Paris, Paristech, \`Ecole des mines de Paris, France, 2008.

L. L. Bonilla and M. Carretero, ''Nonlinear electron transport in nanostructures'', in Numerical Analysis and Applied Mathematics, T.E. Simos, G. Psihoyios and Ch. Tsitouras, eds. pp.9-12. American Institute of Physics Proceedings 1048, Melville, N.Y., 2008.

L.L. Bonilla, A. Carpio and J. C. Neu, ''Kinetics of nucleation and growth: classical nucleation and helium bubbles in nuclear materials'', in Math everywhere, Deterministic and Stochastic Modelling in Biomedicine, Economics and Industry, G. Aletti, M. Burger, A. Micheletti y D. Morale, eds. pp. 291-307. Springer, Berlin 2007.

L.L. Bonilla, L. Barletti, R. Escobedo and M. Alvaro, ''Nonlinear electronic transport in semiconductor superlattices'', in Applied and Industrial Mathematics in Italy II. Selected contributions from the 8th SIMAI Conference, V. Cutello, G. Fotia and L. Puccio, eds. Series on Advances in Mathematics for Applied Sciences 75. pp. 184-195. World Sci., Singapore 2007.

L.L. Bonilla and A. Carpio, ''Defects, Singularities and Waves'', in Recent Advances in Nonlinear Partial Differential Equations and Applications. Conference in honor of Peter D. Lax and Louis Nirenberg on their 80th birthdays., June 7-10, 2006, L.L. Bonilla, A. Carpio, J.M. Vega and S. Venakides, editores. Proceedings of Symposia in Applied Mathematics, vol. 65, pp.~131-150. American Mathematical Society 2007. ISBN-13: 978-0-8218-4211-9.

L.L. Bonilla, ''Nonlinear electronic transport in the kinetic theory of semiconductor nanostructures'', en Oberwolfach reports 4 (4), 3410-3413 (in Report 58 Material Theories), EMS Publishing House, 2007.

A. Carpio, L.L. Bonilla and I. Plans, ''Dynamics and nucleation of dislocation in crystals'', in Oberwolfach reports 4 (4), pp.~3390-3392 (in Report 58 Material Theories), EMS Publishing House, 2007.

A. Carpio, L.L. Bonilla and I. Plans, ''Dislocations in cubic crystals described by discrete models''. Proceedings of the Third Conference on Multiscale Modelling of Materials, 23-29, Fraunhofer IRB Verlag, Freiburg, 2006, ISBN-10. 3-8167-7206-4.

L.L. Bonilla, G. Dell'Acqua, and R. Escobedo, ''Relocation of electric field domains and switching scenarios in superlattices'', in Progress in Industrial Mathematics at ECMI 2004, A. Di Bucchianico, R.M.M. Mattheij y M.A. Peletier, eds. Mathematics in Industry 8, pp.104-108. Springer, Berlin 2005.

L.L. Bonilla and R. Escobedo, ''Quantum kinetic and drift-diffusion equations for semiconductor superlattices'', in Progress in Industrial Mathematics at ECMI 2004}, A. Di Bucchianico, R.M.M. Mattheij y M.A. Peletier, eds. Mathematics in Industry 8, pp.109-113. Springer, Berlin 2005.

L.L. Bonilla and A. Carpio, ''Control challenges in semiconductor nanostructure devices'', Procs. 44th IEEE Conference on Decision and Control and European Control Conference CDC-ECC'05, 12-15 December 2005, Seville, Spain. CD-ROM, ISBN:0-9568-9, IEEE, 2005, p. 1811-1815.

R. Escobedo, L. L. Bonilla and F. J. Higuera, ''Free boundary problems describing two-dimensional pulse recycling and motion in semiconductors''. Progress in Industrial Mathematics at ECMI 2002, A. Buikis, R. Ciegis y A. D. Fitt, eds. Mathematics in Industry 5, pp.147-152. Springer, Berlin 2004.

O. Sanchez, L.L. Bonilla and J. Soler, ''Random domain-relocation times in semiconductor superlattices: A stochastic discrete drift-difussion approach''. Progress in Industrial Mathematics at ECMI 2002}, A. Buikis, R. Ciegis y A. D. Fitt, eds. Mathematics in Industry 5, pp.59-164. Springer, Berlin 2004.

A. Carpio and L. L. Bonilla, ''Atomic models of dislocations and their motion in cubic crystals''. European Congress on Computational Methods in Applied Sciences and Engineering ECCOMAS 2004, P. Neittaanmakki, T. Rossi, S. Korotov, E. Oñate, J. Periaux y D. Knorzer, eds. Jyvaskyla, 24-28 July 2004.

A. Carpio, I. Plans and L. L. Bonilla, ''Atomic models of dislocations for Si and GaAs''. European Congress on Computational Methods in Applied Sciences and Engineering ECCOMAS 2004, P. Neittaanmakki, T. Rossi, S. Korotov, E. Oñate, J. Periaux and D. Knorzer, eds. Jyvaskyla, 24-28 July 2004.

L.L. Bonilla, A. Carpio and J. C. Neu, ''Igniting homogeneous nucleation''. Simplicity, Rigor and Relevance in Fluid Mechanics, F. J. Higuera, J. Jimenez and J. M. Vega, eds., pp. 331-348. CIMNE, Barcelona 2004.

J.C. Neu and L. L. Bonilla, ''Classical Kinetic Theory of Nucleation and Coarsening'', in Mathematical Modelling for Polymer Processing. V. Capasso, ed. Mathematics in Industry 2. Cap.2. Springer, Berlin 2003.

D. Reguera, J.M. Rubi and L. L. Bonilla, ''Kinetic Theory of Nucleation in Polymers'', in Mathematical Modelling for Polymer Processing. V. Capasso, ed. Mathematics in Industry 2. Cap.4. Springer, Berlin 2003.

F. Bernal, G. Herranz, M. Kindelan, B. Levenfeld, L. L. Bonilla y J. M. Torralba, ''Numerical simulation of powder injection mould ing (PIM) process of metal-loaded polymers into a shallow cavity''. Procs. of Euro PM2003 (European Powder Metallurgy Conference), Valencia, Spain, October 20-22, 2003. Volume 3, pp.187-192.

E. Ruiz Arriola, L.L. Bonilla y J. Soler, ''Quantum Kinetic Equation including Phonon Scattering'', Progress in Industrial Mathematics at ECMI 2000, A.M. Anile, V. Capasso and A. Greco, eds. Mathematics in Industry 1, pp.347-357. Springer, Berlin 2002.

A. Carpio and L.L. Bonilla, ''Wavefronts in Photoexcited Semiconductor Superlattices'', in Progress in Industrial Mathematics at ECMI 2000, A.M. Anile, V. Capasso and A. Greco, eds. Mathematics in Industry 1, pp. 365-371. Springer, Berlin 2002.

D. Sanchez, G. Platero and L. L. Bonilla, ''Nonlinear Transport in Semiconductor Superlattices'', in Progress in Industrial Mathematics at ECMI 2000, A.M. Anile, V. Capasso and A. Greco, eds. Mathematics in Industry 1, pp.372-385. Springer, Berlin 2002.

M. Kindelan and L. L. Bonilla, ''Periodic recycling and motion of wavefronts in a model of the Gunn effect with saturating current characteristics'', in Progress in Industrial Mathematics at ECMI 2000 A.M. Anile, V. Capasso and A. Greco, eds. Mathematics in Industry 1 pp.~86-398. Springer, Berlin 2002.

L.L. Bonilla, R. Escobedo and F. J. Higuera, ''Axisymmetric Gunn effect''. Proceedings of the 25th International Conference on the Physics of Semiconductors, edited by N. Miura and T. Ando (Springer, Berlin, 2001). pag. 135-136.

A. Amann, A. Wacker, L.L. Bonilla and E. Scholl, ''Field domains in semiconductor superlattices: Dynamic scenarios of multistable switching'', in Proceedings of the 25th International Conference on the Physics of Semiconductors, edited by N. Miura y T. Ando (Springer, Berlin, 2001), pag. 801-802.

K. J. Luo, S.W. Teitsworth, M. Rogozia, H.T. Grahn, L.L. Bonilla, J. Galan and N. Ohtani, ''Controllable bifurcation processes in undoped, photoexcited GaAs/AlAs superlattices'', in Proceedings of the Fifth Experimental Chaos Conference}, edited by M. Ding, W. L. Ditto, A. Osborne, L. M. Pecora, and M. L. Spano. (World Scientific, Singapore, 2001). Pag. 37-43.

A. Medina, C. Treviño, P.J. Hernando and L.L. Bonilla, ''Experimental and theoretical study of the gravity induced granular flow in two-dimensional silos'', in Coherent Structures in Complex Systems. Lecture Notes in Phsics 567, pp. 420-435. edited by D. Reguera, L.L. Bonilla and J.M. Rubi Springer, Berlin 2001.

M.A. Moscoso, L.L. Bonilla, M. Kindelan and J. Galan, ''Wave propagation and oscillations in a semiconductor nanostructure'', in Applied and Industrial Mathematics, Venice-2, 1998}, R. Spigler, ed. Pages 209-217. Kluwer Acad. Pub., Dordrecht, Netherlands 2000.

H.T. Grahn, K.J. Luo, K. H. Ploog and L.L. Bonilla, ''Frequency locking, quasiperiodicity and chaos in semiconductor superlattices'', in Proceedings of the 24th International Conference on the Physics of Semiconductors edited by D. Gershoni (World Scientific, Singapore, 1999), (0225.pdf).

C.A. Velasco, L.L. Bonilla, V. A. Kochelap and V. N. Sokolov, ''Patterns under Quantum Confined Stark Effect'', in Proceedings of the 24th International Conference on the Physics of Semiconductors} edited by D. Gershoni (World Scientific, Singapore, 1999), (0296.pdf).

M.A. Moscoso, L.L. Bonilla y J. Galan, ''Phase diagram of undoped photoexcited superlattices under domain formation'', in Proceedings of the 24th International Conference on the Physics of Semiconductors} edited by D. Gershoni (World Scientific, Singapore, 1999), V-C-14 (0524.pdf).

M.J. Bergmann, S.W. Teitsworth and L.L. Bonilla, ''Nucleation of space-charge waves in an extrinsic semiconductor with nonuniform impurity profile''. Proceedings of the 9th Int. Conf. on Hot Carriers in Semiconductors, Chicago, 31 July -- 4 August, 1995, edited by K. Hess, J. P. Leburton and U. Ravaioli. Pages 505-507. Plenum P., N. Y. 1996.

J. Galan, L. L. Bonilla, M. Moscoso, M. Kindelan, O. M. Bulashenko and A. Wacker ''Dynamics of electric field domains and chaos in semiconductor superlattices''. Procs. NDES-96, 4th International
Workshop on Nonlinear Dynamics of Electronic Systems, CNM Seville, Spain June 27-28 (1996), p.217-222.

L. L. Bonilla, ''Some problems of charge transport in semiconductors", in Current Trends in Applied Mathematics}, M. A. Herrero y E. Zuazua, eds. Universidad Complutense de Madrid Summerschool Applied Mathematics at the Turn of the Century Aguadulce, Spain, 5-10 July 1993. pp 11-72. Editorial Complutense, Madrid, 1996.

R. Merlin, S.H. Kwok, T.B. Norris, H.T. Grahn, K. Ploog, L.L. Bonilla, J. Galan, J.A. Cuesta, F.C. Martinez and J. M. Molera, ''Dynamics of resonant tunneling domains in superlattices: theory and experiment''. Procs. of the 22nd International Conference on the Physics of Semiconductors, Vancouver, Canada, August 15-19, 1994. D. J. Lockwood, ed. pp1039-1042. World Sci., Singapore 1995.

L.L. Bonilla, J.A. Cuesta, J. Galan, F. C. Martinez and J.M. Molera, ''Electric field domains in superlattices: Dynamics'', in 25 Years of Non-equilibrium Statistical Mechanics. Lecture Notes in Physics 445, pp. 327-337. edited by J. J. Brey, J. Marro, J.M. Rubi and M. San Miguel. Springer, Berlin 1995.

O.M. Bulashenko, L.L. Bonilla, J. Galan, J.A. Cuesta, F.C. Martinez and J.M. Molera, ''Dynamics of resonant tunneling domains in superlattices: a discrete drift model'' in Quantum transport in ultrasmall devices, edited by D.K. Ferry, H.L. Grubin, C. Jacoboni and A.P. Jauho. Volume 342 of NATO -ASI Series B. pp. 501-504. Plenum Press, N.Y. 1995.

L.L. Bonilla, ''Dynamics of electric field domains in superlattices''. Nonlinear Dynamics and Pattern Formation in Semiconductors and Devices, edited by F.-J. Niedernostheide. Pages 1-20. Springer, Berlin, 1995.

S.W. Teitsworth, M.J. Bergmann and L.L. Bonilla, ''Space charge instabilities and nonlinear waves in extrinsic semiconductors''. Nonlinear Dynamics and Pattern Formation in Semiconductors and Devices, edited by F.-J. Niedernostheide.Pages 44-69. Springer, Berlin, 1995.

L.L. Bonilla, ''Electric field domains in superlattices''. Fluctuation Phenomena: Disorder and Nonlinearity. A R. Bishop, S. Jimenez and L.Vazquez, eds. Pages 209-215. World Sci., Singapore 1995.

L.L. Bonilla,''Gunn instabilities in extrinsic semiconductors''. Mathematical Problems in Semiconductor Physics. P.A. Marcati, P.A. Markowich and R. Natalini, eds. Pags. 118-131. Pitman Res. Notes in Math. 340. Longman, Essex, 1995.

L. L. Bonilla, ''Two nonequilibrium phase transitions: Stochastic Hopf bifurcation and onset of relaxation oscillations in the diffusive sine-Gordon model", Far from equilibrium phase transitions, Ed. L. Garrido. Lecture Notes in Physics 319. Pp. 75-96. Springer, Berlin 1988.

L. L. Bonilla, ''Effective Equation and Renormalization for a Nonlinear Wave Problem with a Random Source", in Random Media. Ed. G. C. Papanicolaou. Volume 7 of the Series IMA Volumes in Mathematics and its Applications, Springer-Verlag, N.Y., 1987. Pages 15-27.

L. L. Bonilla and M. G. Velarde, ''The Spruce-Budworm-Forest and Other Ecosystems" in Rhythms in Biology and other fields of application}. edited by M. Cosnard, J. Demongeot and A. Le Breton. Lecture Notes Biomathematics 49, 94-100. Springer, N. Y., 1983.

M. G. Velarde and L. L. Bonilla, ''Competition between Time Delays and Diffusion in a Model Ecological Problem", in Symmetries and Broken Symmetries in Condensed Matter Physics. Ed. N. Boccara. IDSET, Paris. Pags. 191-198 (1981).

L. L. Bonilla and M. G. Velarde, ''Dos ejemplos de sistemas de reacción-difusión: (i) estructuras localizadas y (ii) la ecuación logística con retardo". Publicaciones Matemáticas de la U.A.B. 19, 131-146 (1980).




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