Bifurcation And Chaos In Nonsmooth Mechanical Systems

Released on by Jan Awrejcewicz
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  • Bifurcation And Chaos In Nonsmooth Mechanical Systems Book Detail

  • Author : Jan Awrejcewicz
  • Release Date : 2003-07-14
  • Publisher : World Scientific
  • Genre : Mathematics
  • Pages : 564
  • ISBN 13 : 9814485403
  • File Size : 78,78 MB
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Bifurcation And Chaos In Nonsmooth Mechanical Systems by Jan Awrejcewicz PDF Summary

Book 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.

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