A. Curnier, Unilateral Contact: Mechanical Modelling, New Developments in Contact Problems, vol.384, pp.1-54, 1999.

P. Moylan, Dissipative Systems and Stability

C. Li, W. Xu, J. Feng, and L. Wang, Response probability density functions of Duffing-Van der Pol vibro-impact system under correlated Gaussian white noise excitation, Physica A, vol.392, pp.1269-1279, 2013.

H. Rong, X. Wang, W. Xu, and T. Fang, Subharmonic response of a single-degree-of-freedom nonlinear vibroimpact system to a ramdomly disordered periodic excitation, Journal of Sound and Vibration, vol.327, pp.173-182, 2009.

J. Feng, W. Xu, H. Rong, and R. Wang, Stochastic responses of Duffing-Van der Pol vibro-impact system under additive and multiplicative random excitations, Int. J. of Non-Linear Mechanics, vol.44, pp.51-57, 2009.

J. Feng, W. Xu, and R. Wang, Stochastic responses of vibro-impact Duffing oscillator excited by additive Gaussian noise, Journal of Sound and Vibration, vol.309, pp.730-738, 2009.

G. Hu, Z. Hu, B. Jian, L. Liu, and H. Wan, On the determination of the damping coefficient of nonlinear spring-dashpot system to model Hertz contact for simulation by discrete element method, Information Engineering (ICIE), WASE International Conference on, vol.3, pp.14-15, 2010.

R. Kacianauskas, H. Kruggel-emden, E. Zdancevicius, and D. Markauskas, Comparative evaluation of normal viscoelastic contact force models in low velocity impact situations, Advanced Powder Technology, 2016.

N. S. Nguyen and B. Brogliato, Shock dynamics in granular chains: numerical simulations and comparisons with experimental tests, Granular Matter, vol.14, pp.341-362, 2012.

N. S. Nguyen and B. Brogliato, Multiple Impacts in Dissipative Granular Chains, Lecture Notes in Applied and Computational Mechanics, vol.72, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00908612

A. Champneys and P. Varkonyi, The Painlevé paradox in contact mechanics, IMA Journal of Applied Mathematics, vol.81, pp.538-588, 2016.

V. Sessa, L. Iannelli, F. Vasca, and V. Acary, A complementarity approach for the computation of periodic oscillations in piecewise linear systems, Nonlinear Dynamics

R. C. Fetecau, J. E. Mardsen, M. Ortiz, and M. West, Nonsmooth Lagrangian mechanics and variational collision integrators, SIAM J. Applied Dynamical Systems, vol.2, pp.381-416, 2003.

M. Kojima and R. Saigal, On the number of solutions to a class of linear complementarity problems, Mathematical Programming, vol.17, pp.136-139, 1979.

L. Paoli, Vibro-impact problems with dry friction-Part I: Existence result, SIAM J. Math. Anal, vol.47, issue.5, pp.3285-3313, 2015.
URL : https://hal.archives-ouvertes.fr/hal-02074443

L. Paoli, Vibro-impact problems with dry friction-Part II: Tangential contacts and frictional catastrophes, SIAM J. Math. Anal, vol.48, issue.2, pp.1272-1296, 2016.
URL : https://hal.archives-ouvertes.fr/hal-02074455

F. Génot and B. Brogliato, New results on Painlevé paradoxes, INRIA Research Report, vol.3366, 1998.

S. Adly, F. Nacry, and L. Thibault, Preservation of prox-regularity of sets with applications to constrained optimization, SIAM J. Optim, vol.26, issue.1, pp.448-473, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01313215

A. Tanwani, B. Brogliato, and C. Prieur, Stability and observer design for Lur'e systems with multivalued, non-monotone, time-varying nonlinearities and state jumps, SIAM J. Control and Optimization, vol.56, issue.2, pp.3639-3672, 2014.

S. Adly, D. Goeleven, and B. K. Le, Stability analysis and attractivity results of a DC-DC Buck converter, Set-Valued Var, Anal, vol.20, pp.331-353, 2012.

S. Adly, R. Cibulka, and H. Massias, Variational analysis and generalized equations in electronics, Set-Valued Var, Anal, vol.21, pp.333-358, 2013.

S. Adly, H. Attouch, and A. Cabot, Finite time stabilisation of nonlinear oscillators subject to dry friction, Nonsmooth Mechanics and Analysis, vol.24, pp.289-304, 2006.

B. Baji and A. Cabot, An inertial proximal algorithm with dry friction: finite convergence results, Set-Valued Analysis, vol.9, pp.1-23, 2006.

G. Lancioni, D. Gentilucci, E. Quagliarini, and S. Lenci, Seismic vulnerability of ancient stone arches by using a numerical model based on the Non-Smooth Contact Dynamics method, Engineering Structures, vol.119, pp.110-121, 2016.

H. Xiao, Y. Shao, and M. J. Brennan, On the contact stiffness and nonlinear vibration of an elastic body with a rough surface in contact with a rigid flat surface, European Journal of Mechanics A/Solids, vol.49, pp.321-328, 2015.

Z. Zhao, C. Liu, and T. Chen, Docking dynamics between two spacecrafts with APDSes, Multibody System Dynamics, 2016.

H. H. Ruan and T. X. Yu, The unexpectedly small coefficient of restitution of a two-degree-of-freedom mass-spring system and its implications, International Journal of Impact Engineering, vol.88, pp.1-11, 2016.

A. G. Basile and R. S. Dumont, Coefficient of restitution for one-dimensional harmonic solids, Phys. Rev. E, vol.61, issue.2, 2000.

S. I. Nagahiro and Y. Hayakawa, Collision of one-dimensional nonlinear chains, Physical Review A, vol.67, p.36609, 2003.

K. M. Lynch and C. K. Black, Recurrence, controllability, and stabilization of juggling, IEEE Transactions on Robotics and Automation, vol.17, pp.113-124, 2001.

A. I. Giouvanidis and E. G. Dimitrakopoulos, Modelling contact in rocking structures with a nonsmooth dynamics approach, VVII European Congress on Computational Methods in Applied Sciences and Engineering, M. Papadrakakis, pp.5-10, 2016.

S. I. Niculescu and B. Brogliato, Force measurement time-delays and contact instability phenomenon, European Journal of Control, vol.5, pp.279-289, 1999.

A. Tornambé, Force measurement time-delays and contact instability phenomenon, European Journal of Control, vol.5, pp.290-292, 1999.

J. Piotrowski, Model of the UIC link suspension for freight wagons, Archive of Applied Mechanics, vol.73, pp.517-532, 2003.

H. True, A. P. Engsig-karup, and D. Bigoni, On the numerical and computational aspects of nonsmoothness that occur inrailway vehicla dynamics, Mathematics and Computers in Simulation, vol.95, pp.78-97, 2013.

J. B. Hiriat-urruty and B. Seeger, A variational approach to copositive matrices, vol.52, pp.593-629, 2010.

S. Rakshit and A. Chatterjee, Scalar generalization of Newtonian restitution for simultaneous impact, International Journal of Mechanical sciences, vol.103, pp.141-157, 2015.