Bifurcation And Chaos In Nonsmooth Mechanical Systems


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Bifurcation And Chaos In Nonsmooth Mechanical Systems


Bifurcation And Chaos In Nonsmooth Mechanical Systems

Author: Jan Awrejcewicz

language: en

Publisher: World Scientific

Release Date: 2003-07-14


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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.

Bifurcation and Chaos in Nonsmooth Mechanical Systems


Bifurcation and Chaos in Nonsmooth Mechanical Systems

Author: Jan Awrejcewicz

language: en

Publisher: World Scientific

Release Date: 2003


DOWNLOAD





This book presents the theoretical frame for studying lumped nonsmoothdynamical systems: the mathematical methods are recalled, and adaptednumerical methods are introduced (differential inclusions, maximalmonotone operators, Filippov theory, Aizerman theory, etc.

Bifurcation and Chaos in Nonsmooth Mechanical Systems


Bifurcation and Chaos in Nonsmooth Mechanical Systems

Author: Jan Awrejcewicz

language: en

Publisher: World Scientific

Release Date: 2003


DOWNLOAD





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.