Numerical methods for nonsmooth dynamical systems. Applications in mechanics and electronics, Lecture Notes in Applied and Computational Mechanics, vol.35, 2008. ,
URL : https://hal.archives-ouvertes.fr/inria-00423530
Existence of Solutions for a Class of Impact Problems Without Viscosity, SIAM Journal on Mathematical Analysis, vol.38, issue.1, pp.37-63, 2006. ,
DOI : 10.1137/S0036141004444664
Experimental investigation of vibrations of strings interacting with point obstacles, Doklady Physics, vol.46, issue.7, pp.522-525, 2001. ,
DOI : 10.1134/1.1390411
Longitudinal vibrations of a thin rod interacting with an immobile limiter, Journal of Machinery Manufacture and Reliability, vol.36, issue.6, pp.535-541, 2007. ,
DOI : 10.3103/S1052618807060052
URL : https://hal.archives-ouvertes.fr/hal-01569152
Theory of vibro-impact systems and applications, Foundations of Engineering Mechanics, 1998. ,
The Dynamics of Discrete Mechanical Systems with Perfect Unilateral Constraints, Archive for Rational Mechanics and Analysis, vol.154, issue.3, pp.199-274, 2000. ,
DOI : 10.1007/s002050000105
URL : https://hal.archives-ouvertes.fr/hal-00111308
Formulation and well-posedness of the dynamics of rigid-body systems with perfect unilateral constraints, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.359, issue.1789, pp.2327-2346, 2001. ,
DOI : 10.1098/rsta.2001.0854
Vibration of strongly nonlinear discontinuous systems, Foundations of Engineering Mechanics, 2001. ,
DOI : 10.1007/978-3-540-44488-6
Mouvements périodiques d'une corde vibrante en présence d'un obstacle rectiligne, Zeitschrift für angewandte Mathematik und Physik ZAMP, vol.289, issue.4, pp.31-473, 1980. ,
DOI : 10.1007/BF01590858
URL : https://hal.archives-ouvertes.fr/hal-01527104
Mouvements presque-périodiques d'une corde vibrante en présence d'un obstacle fixe, rectiligne ou ponctuel, International Journal of Non-Linear Mechanics, vol.16, issue.5-6, pp.449-458, 1981. ,
DOI : 10.1016/0020-7462(81)90019-6
URL : https://hal.archives-ouvertes.fr/hal-01527103
Mouvement d'une corde vibrante en présence d'un obstacle rectiligne fixe, Comptes rendus de l'Académie des sciences, vol.296, pp.1367-1371, 1983. ,
URL : https://hal.archives-ouvertes.fr/hal-01527107
Periodic motions of a string vibrating against a fixed point-mass obstacle: II, Mathematical Methods in the Applied Sciences, vol.20, issue.1, pp.55-67, 1984. ,
DOI : 10.1016/0362-546X(83)90076-7
URL : https://hal.archives-ouvertes.fr/hal-01527093
Cordes vibrantes avec obstacles, Acta Acustica united with Acustica, vol.55, pp.14-20, 1984. ,
URL : https://hal.archives-ouvertes.fr/hal-01527089
Presentation of software for movies of vibrating strings with obstacles, Applied Mathematics Letters, vol.10, issue.5, pp.79-84, 1997. ,
DOI : 10.1016/S0893-9659(97)00087-6
URL : https://hal.archives-ouvertes.fr/hal-01527085
Piecewise-smooth Dynamical Systems, Theory and Applications, Applied Mathematical Sciences, vol.163, 2008. ,
Discrete breathers - Advances in theory and applications, Physics Reports, vol.467, issue.1-3, pp.1-116, 2008. ,
DOI : 10.1016/j.physrep.2008.05.002
Discrete breathers in vibroimpact chains: Analytic solutions, Physical Review E, vol.295, issue.2, p.26609, 2008. ,
DOI : 10.1103/PhysRevB.46.6161
Exact solutions for discrete breathers in a forced-damped chain, Physical Review E, vol.30, issue.6, p.62911, 2013. ,
DOI : 10.1119/1.1972842
URL : https://hal.archives-ouvertes.fr/hal-01510820
Localization in finite vibroimpact chains: Discrete breathers and multibreathers, Physical Review E, vol.94, issue.3, p.32204, 2016. ,
DOI : 10.1098/rspa.2000.0519
Almost periodic motion of a string vibrating against a straight fixed obstacle, Nonlinear Analysis: Theory, Methods & Applications, vol.7, issue.2, pp.129-141, 1983. ,
DOI : 10.1016/0362-546X(83)90076-7
URL : https://hal.archives-ouvertes.fr/hal-01527087
ODEPACK, A Systematized Collection of ODE Solvers, IMACS Transactions on Scientific Computation, vol.1, pp.55-74, 1983. ,
Vibro-impact Dynamics: Modeling, Mapping and Applications, Lecture Notes in Applied and Computational Mechanics, vol.43, 2009. ,
DOI : 10.1007/978-3-642-00275-5
On the analysis of models of strongly nonlinear vibroimpact processes in equipped lattice systems, Journal of Machinery Manufacture and Reliability, vol.37, issue.6, pp.552-557, 2008. ,
DOI : 10.3103/S1052618808060046
Simulation of vibroshock in two-dimensional systems with inherited properties, Journal of Machinery Manufacture and Reliability, vol.41, issue.5, pp.361-368, 2012. ,
DOI : 10.3103/S105261881205007X
Vibration of string placed between extended and point limiters, Journal of Machinery Manufacture and Reliability, vol.46, issue.2, pp.96-104, 2017. ,
DOI : 10.3103/S105261881702008X
Phénomènes ondulatoires dans un modèle discret de faille sismique, 2011. ,
Nonsmooth modal analysis of a N-degree-of-freedom system undergoing a purely elastic impact law, Communications in Nonlinear Science and Numerical Simulation, vol.45, pp.190-219, 2017. ,
DOI : 10.1016/j.cnsns.2016.08.022
URL : https://hal.archives-ouvertes.fr/hal-01185980
On some periodic solutions of discrete vibro-impact systems with a unilateral contact condition, Mémoire de thèse, 2017. ,
URL : https://tel.archives-ouvertes.fr/tel-01665818
Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators, Nonlinearity, vol.7, issue.6, pp.1623-1643, 1994. ,
DOI : 10.1088/0951-7715/7/6/006
Exact solutions for a discrete systems undergoing free vibro-impact oscillations, Dynamics of Vibro-Impact Systems, Proceedings of the Euromech Collaquium, pp.151-158, 1998. ,
DOI : 10.1007/978-3-642-60114-9
Dynamics of a discrete breather in a harmonically excited chain with vibro-impact on-site potential, Physica D, vol.340, pp.292-293, 2015. ,
DOI : 10.1016/j.physd.2014.10.009
Impact modes in discrete vibrating systems with rigid barriers, International Journal of Non-Linear Mechanics, vol.36, issue.6, pp.999-1012, 2001. ,
DOI : 10.1016/S0020-7462(00)00066-4
URL : https://hal.archives-ouvertes.fr/hal-01295245
A class of nonlinear differential equations of second order in time, Nonlinear Analysis: Theory, Methods & Applications, vol.2, issue.3, pp.355-373, 1978. ,
DOI : 10.1016/0362-546X(78)90022-6
URL : https://hal.archives-ouvertes.fr/hal-01294058
A hyperbolic problem of second order with unilateral constraints: The vibrating string with a concave obstacle, Journal of Mathematical Analysis and Applications, vol.73, issue.1, pp.138-191, 1980. ,
DOI : 10.1016/0022-247X(80)90026-8
URL : https://hal.archives-ouvertes.fr/hal-01620859
Numerical approximation of a wave equation with unilateral constraints, Mathematics of Computation, vol.53, issue.187, pp.55-79, 1989. ,
DOI : 10.1090/S0025-5718-1989-0969491-5
URL : https://hal.archives-ouvertes.fr/hal-01295436
Localized oscillations in conservative or dissipative networks of weakly coupled autonomous oscillators, Nonlinearity, vol.10, issue.3, pp.679-713, 1997. ,
DOI : 10.1088/0951-7715/10/3/006
Discrete breathers in an array of self-excited oscillators: Exact solutions and stability, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol.30, issue.1, p.103112, 2016. ,
DOI : 10.1098/rspa.2000.0519
Nonsmooth Modal Analysis of Piecewise-Linear Impact Oscillators, SIAM Journal on Applied Dynamical Systems, vol.16, issue.3, pp.1710-1747, 2017. ,
DOI : 10.1137/16M1081506
URL : https://hal.archives-ouvertes.fr/hal-01298983
Normal oscillations of a string with concentrated masses on nonlinearly elastic supports, Journal of Applied Mathematics and Mechanics, vol.49, issue.2, pp.203-211, 1985. ,
URL : https://hal.archives-ouvertes.fr/hal-01510835
DOI : 10.1016/0021-8928(85)90095-4
Analytic functions in Banach spaces, Proceedings of the American Mathematical Society, vol.16, issue.5, pp.1077-1083, 1965. ,
DOI : 10.1090/S0002-9939-1965-0184092-2
Computation of Lyapunov exponents for dynamical system with impact, Applied Mathematical Sciences, vol.4, issue.43, pp.237-252, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-01409161