Bifurcation And Chaos In Nonsmooth Mechanical Systems (World Scientific Series on Nonlinear Science Series A, #45) (World Scientific Series on Nonlinear Science)

by Jan Awrejcewicz and Claude-Henri Lamarque

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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.
  • ISBN13 9789812384591
  • Publish Date 16 July 2003 (first published 1 January 2003)
  • Publish Status Active
  • Publish Country SG
  • Imprint World Scientific Publishing Co Pte Ltd