Awrejcewicz, J
Bifurcation and chaos in nonsmooth mechanical systems - River Edge, NJ World Scientific 2003 - xvii, 543 p. ill. (some col.) - World Scientific series on nonlinear science. Series A, Monographs and treatises .
series A, Vol 45
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.
9789812384591
2005277593
Bifurcation theory.
Chaotic behavior in systems
Differential equations, Nonlinear
515.392 / AWR/B
Bifurcation and chaos in nonsmooth mechanical systems - River Edge, NJ World Scientific 2003 - xvii, 543 p. ill. (some col.) - World Scientific series on nonlinear science. Series A, Monographs and treatises .
series A, Vol 45
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.
9789812384591
2005277593
Bifurcation theory.
Chaotic behavior in systems
Differential equations, Nonlinear
515.392 / AWR/B