Bifurcation And Chaos In Nonsmooth Mechanical Systems
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A01=Claude-henri Lamarque
A01=Jan Awrejcewicz
Applications
Author_Claude-henri Lamarque
Author_Jan Awrejcewicz
Bifurcation
Category=PBD
Category=PBK
Category=PBKJ
Chaos
Differential Equations
Differential Inclusions
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Friction
Impacts
Nonsmooth Dynamical Systems
Stability
Product details
- ISBN 9789812384591
- Publication Date: 16 Jul 2003
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
