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Bifurcation and chaos in nonsmooth mechanical systems /

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 analysi...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Awrejcewicz, J. (Jan)
Otros Autores: Lamarque, Claude-Henri
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore ; River Edge, NJ : World Scientific, 2003.
Colección:World Scientific series on nonlinear science. Monographs and treatises ; v. 45.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario: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.
Descripción Física:1 online resource (xvii, 543 pages) : illustrations (some color)
Bibliografía:Includes bibliographical references (pages 507-530) and index.
ISBN:9812564802
9789812564801