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Bifurcation And Chaos In Nonsmooth Mechanical Systems


Bifurcation And Chaos In Nonsmooth Mechanical Systems


World Scientific Series On Nonlinear Science Series A

von: Awrejcewicz Jan Awrejcewicz

434,00 €

Verlag: World Scientific Publishing
Format: PDF
Veröffentl.: 14.07.2003
ISBN/EAN: 9789812564801
Sprache: englisch
Anzahl Seiten: 564

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Beschreibungen

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.

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