Nonlinear transmission lines for pulse shaping in silicon, IEEE Journal of Solid-State Circuits, vol.40, pp.744-752, 2005. ,
Compactons and chaos in strongly nonlinear lattices, Phys. Rev. E, vol.79, p.26209, 2009. ,
The limit as p ? ? in a nonlocal p-Laplacian evolution equation: a nonlocal approximation of a model for sandpiles, Calc. Var, vol.35, pp.279-316, 2009. ,
On metastability in FPU, Comm. Math. Phys, vol.264, pp.539-561, 2006. ,
Nonlinear wave mechanics, Annals of Physics, vol.100, p.62, 1976. ,
From Newton's cradle to the discrete p-Schrödinger equation, SIAM J. Math. Anal, vol.45, pp.3404-3430, 2013. ,
Numerical methods for least squares problems, 1996. ,
Wave propagation in granular chains with local resonances, Phys. Rev. E, vol.91, p.33208, 2015. ,
, Weakly nonlinear wavepackets in the Korteweg-de Vries equation: the KdV/NLS connection, vol.55, pp.317-328, 2001.
, The Fermi-Pasta-Ulam problem : the first 50 years, Chaos, vol.15, 2005.
Equations d'´ evolution avec non linéarité logarithmique, Annales Faculté des Sciences Toulouse, vol.2, pp.21-51, 1980. ,
Asymptotic solution for solitary waves in a chain of elastic spheres, Phys. Rev. E, vol.59, pp.5912-5919, 1999. ,
Breathers and kinks in a simulated breather experiment, Discrete Contin. Dyn. Syst. Ser. S, vol.4, pp.1107-1118, 2011. ,
Emission of supersonic soliton wave beams-generators of restructuring of nanocrystals under atom bombardment, and the self-organization of a dynamic superlattice of complexes of soliton atomic vibrations, Phys. of solid state, vol.52, pp.899-903, 2010. ,
On the solitary wave pulse in a chain of beads, Proc. Amer. Math. Soc, vol.133, issue.6, pp.1763-1768, 2005. ,
Travelling waves of discrete nonlinear Schrödinger equations with nonlocal interactions, Applicable Analysis, vol.89, pp.1387-1411, 2010. ,
Travelling waves of forced discrete nonlinear Schrödinger equations, Discrete Contin. Dyn. Syst. Ser. S, vol.4, pp.1129-1145, 2011. ,
Conditions of the existence of localized excitations in nonlinear discrete systems, Phys. Rev. E, vol.50, pp.3134-3142, 1994. ,
Existence of localized excitations in nonlinear Hamiltonian lattices, Phys. Rev. E, vol.51, pp.1503-1507, 1995. ,
Discrete breathers : advances in theory and applications, Physics Reports, vol.467, pp.1-116, 2008. ,
Moving discrete breathers ?, Physica D, vol.127, pp.61-72, 1999. ,
DOI : 10.1016/s0167-2789(98)00274-7
URL : http://arxiv.org/pdf/cond-mat/9709049
Discrete Breathers, Physics Reports, vol.295, pp.181-264, 1998. ,
Existence theorem for solitary waves on lattices, Commun. Math. Phys, vol.161, pp.391-418, 1994. ,
DOI : 10.1007/bf02099784
Granular metamaterials for vibration mitigation, Journal of Applied Physics, vol.114, p.93514, 2013. ,
DOI : 10.1063/1.4820521
URL : https://authors.library.caltech.edu/42260/1/1.4820521.pdf
Discrete breathers in vibroimpact chains: Analytic solutions, Phys. Rev. E, vol.78, p.26609, 2008. ,
DOI : 10.1103/physreve.78.026609
Dispersive evolution of pulses in oscillator chains with general interaction potentials, Discr. Cont. Dyn. Syst. B, vol.6, pp.493-523, 2006. ,
Lagrangian and Hamiltonian two-scale reduction, Journal of Mathematical Physics, vol.49, pp.1-42, 2008. ,
DOI : 10.1063/1.2956487
URL : http://arxiv.org/pdf/0802.2820
Unimodal wavetrains and solitons in convex Fermi-Pasta-Ulam chains, Proc. R. Soc. Edinb. Sect. A-Math, vol.140, pp.753-785, 2010. ,
DOI : 10.1017/s0308210509000146
URL : http://arxiv.org/pdf/0901.3736
Travelling waves in a chain of coupled nonlinear oscillators, Commun. Math. Phys, vol.211, pp.439-464, 2000. ,
URL : https://hal.archives-ouvertes.fr/hal-01271086
Localized waves in nonlinear oscillator chains, Chaos, vol.15, p.15113, 2005. ,
DOI : 10.1063/1.1836151
URL : https://hal.archives-ouvertes.fr/hal-00012887
Nonlinear waves in Newton's cradle and the discrete p-Schrödinger equation, Math. Models Meth. Appl. Sci, vol.21, pp.2335-2377, 2011. ,
Breathers in oscillator chains with Hertzian interactions, Physica D, vol.251, pp.39-59, 2013. ,
DOI : 10.1016/j.physd.2013.01.017
URL : https://hal.archives-ouvertes.fr/hal-00638750
Center manifold theory in the context of infinite one-dimensional lattices, The Fermi-Pasta-Ulam Problem. A Status Report, G. Gallavotti Ed, vol.728, pp.207-238, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00390032
Breather solutions of the discrete p-Schrödinger equation, in Localized Excitations in Nonlinear Complex Systems, Nonlinear Systems and Complexity, vol.7, pp.77-115, 2014. ,
Gaussian solitary waves and compactons in Fermi-Pasta-Ulam lattices with Hertzian potentials, Proc. R. Soc. A, vol.470, 2014. ,
DOI : 10.1098/rspa.2013.0462
URL : https://hal.archives-ouvertes.fr/hal-00844170
Long wave asymptotics. Integrable equations as asymptotic limits of non-linear systems, Russian Math. Surveys, vol.44, pp.3-42, 1989. ,
The Discrete Nonlinear Schrödinger Equation: Mathematical Analysis, Numerical Computations and Physical Perspectives, 2009. ,
Traveling Waves for the Mass in Mass Model of Granular Chains, Letters in Mathematical Physics, vol.106, pp.1067-1088, 2016. ,
Interaction of traveling waves with masswith-mass defects within a Hertzian chain, Phys. Rev. E, vol.87, p.42911, 2013. ,
DOI : 10.1103/physreve.87.042911
URL : https://link.aps.org/accepted/10.1103/PhysRevE.87.042911
Highly nonlinear solitary waves in chains of cylindrical particles, Granular Matter, vol.14, pp.63-69, 2012. ,
DOI : 10.1007/s10035-011-0297-9
Wave propagation in single column woodpile phononic crystal: Formation of tunable band gaps, Journal of the Mechanics and Physics of Solids, vol.71, pp.33-45, 2014. ,
Highly Nonlinear Wave Propagation in Elastic Woodpile Periodic Structures, Phys. Rev. Lett, vol.114, p.118002, 2015. ,
Intrinsic localized modes as solitons with a compact support, Phys. Rev. E, vol.48, pp.43-45, 1993. ,
Nonlinear waves in a strongly resonant granular chain, Nonlinearity, vol.29, pp.3496-3527, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01161719
Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators, Nonlinearity, vol.7, pp.1623-1643, 1994. ,
Solitary waves in a chain of beads under Hertz contact, Phys. Lett. A, vol.251, pp.191-192, 1999. ,
Radiationless traveling waves in saturable nonlinear Schrödinger lattices, Phys. Rev. Lett, vol.97, p.124101, 2006. ,
Travelling solitary waves in the discrete Schrödinger equation with saturable nonlinearity: Existence, stability and dynamics, Physica D, vol.237, pp.551-567, 2008. ,
, Dynamics of heterogeneous materials, 2001.
Highly nonlinear solitary waves in chains of hollow spherical particles, Granular Matter, vol.15, pp.149-155, 2013. ,
Multiple impacts in dissipative granular chains, Lecture Notes in Applied and Computational Mechanics, vol.72, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00908612
Moving solitons in the discrete nonlinear Schrödinger equation, Phys. Rev. E, vol.76, p.36603, 2007. ,
Intrinsic localized modes in nonlinear models inspired by DNA, Nonlinear Theory and its Applications (NOLTA), vol.3, pp.27-51, 2012. ,
URL : https://hal.archives-ouvertes.fr/ensl-00934647
Granular crystals : Nonlinear dynamics meets materials engineering, Physics Today, vol.68, p.44, 2015. ,
Hamiltonian dynamics of dense chains and lattices: or how to correct the continuum, Phys. Lett. A, vol.311, pp.39-52, 2003. ,
Compactification of patterns by a singular convection or stress, Phys. Rev. Lett, vol.99, p.234102, 2007. ,
Bounds for the nonlinear Schrödinger approximation of the Fermi-Pasta-Ulam system, Appl. Anal, vol.89, pp.1523-1539, 2010. ,
Counter-propagating waves on fluid surfaces and the continuum limit of the Fermi-Pasta-Ulam model, Differential Equations Appl, vol.5, issue.1, pp.69-82, 1998. ,
Newton's cradle versus nonbinary collisions, Phys. Rev. Lett, vol.104, p.124302, 2010. ,
Solitary waves in the granular chain, Physics Reports, vol.462, pp.21-66, 2008. ,
Unusual anharmonic local mode systems, Dynamical Properties of Solids, vol.7, 1995. ,
Travelling breathers in Klein-Gordon lattices as homoclinic orbits to p-tori, J. Dyn. Diff. Eqs, vol.17, pp.779-823, 2005. ,
Strongly nonlinear beat phenomena and energy exchanges in weakly coupled granular chains on elastic foundations, SIAM J. Appl. Math, vol.72, p.337, 2012. ,
, Topics on the nonlinear dynamics and acoustics of ordered granular media, 2017.
On the existence of solitary traveling waves for generalized Hertzian chains, J. Nonlinear Sci, vol.22, pp.327-349, 2012. ,
Nonlinear repulsive force between two solids with axial symmetry, Phys. Rev. E, vol.83, p.66605, 2011. ,
Nonlinear grain-grain forces and the width of the solitary wave in granular chains : a numerical study, Granular Matter, vol.15, pp.157-161, 2013. ,
The high exponent limit p ? ? for the one-dimensional nonlinear wave equation, Analysis and PDE, vol.2, pp.235-259, 2009. ,
Wave propagation in a strongly nonlinear locally resonant granular crystal, Physica D, vol.365, pp.27-41, 2018. ,
Linear and nonlinear waves, 1974. ,
Traveling Waves and their Tails in Locally Resonant Granular Systems, J. Phys. A: Math. Theor, vol.48, 2015. ,