Bifurcation and chaos in nonsmooth mechanical systems
Material type:
TextSeries: Publication details: River Edge, NJ World Scientific 2003Description: xvii, 543 p. ill. (some col.)ISBN: 9789812384591Subject(s): Bifurcation theory | Chaotic behavior in systems | Differential equations, NonlinearDDC classification: 515.392 Summary: 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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Stack | Stack | 515.392 AWR/B (Browse shelf (Opens below)) | Available | 59471 |
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| 515.353 WU/T Theory and applications of partial functional differential equations | 515.36 ISH/M Modern differential geometry for physics | 515.39 FEL/C Chaos and fractals : | 515.392 AWR/B Bifurcation and chaos in nonsmooth mechanical systems | 515.4 SAN/N Numerical methods for scientists and engineers | 515.42 AGG/M Measure theory and filtering : introduction and applications | 515.42 ATH/M Measuretheory and probability theory |
series A, Vol 45
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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