Bifurcation and Chaos in Nonsmooth Mechanical Systems Contributor(s): Awrejcewicz, Jan (Author), Lamarque, Claude-Henri (Author) |
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ISBN: 9812384596 ISBN-13: 9789812384591 Publisher: World Scientific Publishing Company OUR PRICE: $222.30 Product Type: Hardcover - Other Formats Published: July 2003 |
Additional Information |
BISAC Categories: - Science | Chaotic Behavior In Systems - Science | Mechanics - Dynamics - Technology & Engineering | Engineering (general) |
Dewey: 515.35 |
LCCN: 2005277593 |
Series: World Scientific Nonlinear Science Series a |
Physical Information: 564 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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. |