Bifurcation And Chaos In Nonsmooth Mechanical Systems

by Claude-henri Lamarque , Jan Awrejcewicz

Book Details

Format Hardback or Cased Book

Book Series World Scientific Series on Nonlinear Science Series A

ISBN-10 9812384596

ISBN-13 9789812384591

Publisher World Scientific Publishing Co Pte Ltd

Imprint World Scientific Publishing Co Pte Ltd

Country of Manufacture SG

Country of Publication GB

Publication Date Jul 16th, 2003

Print length 564 Pages

Weight 920 grams

Dimensions 23.50 x 16.30 x 3.30 cms

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This volume 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).

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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