TY - BOOK AU - Awrejcewicz,J AU - Lamarque,Claude-Henri TI - Bifurcation and chaos in nonsmooth mechanical systems T2 - World Scientific series on nonlinear science. Series A, Monographs and treatises SN - 9789812384591 U1 - 515.392 PY - 2003/// CY - River Edge, NJ PB - World Scientific KW - Bifurcation theory KW - Chaotic behavior in systems KW - Differential equations, Nonlinear N1 - series A, Vol 45 N2 - This book presents the theoretical frame for studying lumped nonsmooth dynamical systems: the mathematical methods are recalled, and adapted numerical methods are introduced (differential inclusions, maximal monotone operators, Filippov theory, Aizerman theory, etc.). Tools available for the analysis of classical smooth nonlinear dynamics (stability analysis, the Melnikov method, bifurcation scenarios, numerical integrators, solvers, etc.) are extended to the nonsmooth frame. Many models and applications arising from mechanical engineering, electrical circuits, material behavior and civil engineering are investigated to illustrate theoretical and computational developments ER -