000 01391nam a2200229 4500
001 14047044
010 _a 2005277593
020 _a9789812384591
082 0 0 _a515.392
_bAWR/B
100 1 _aAwrejcewicz, J
245 1 0 _aBifurcation and chaos in nonsmooth mechanical systems
260 _aRiver Edge, NJ
_bWorld Scientific
_c2003
300 _axvii, 543 p.
_bill. (some col.)
490 1 _aWorld Scientific series on nonlinear science. Series A, Monographs and treatises
500 _aseries A, Vol 45
520 _aThis 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.
650 0 _aBifurcation theory.
650 0 _aChaotic behavior in systems
650 0 _aDifferential equations, Nonlinear
700 1 _aLamarque, Claude-Henri
942 _cBK
999 _c66924
_d66924