Bifurcation and chaos in nonsmooth mechanical systems
著者
書誌事項
Bifurcation and chaos in nonsmooth mechanical systems
（World Scientific series on nonlinear science / editor, Leon O. Chua, ser. A,
World Scientific, c2003
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注記
Includes bibliographical reference and index
内容説明・目次
内容説明
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.
目次
- Introduction to Discontinuous ODEs
- Mathematical Background for Multivalued Formulations
- Properties of Numerical Schemes
- Stick-Slip Oscillator with Two Degrees of Freedom
- Piecewiselinear Approximations
- Chua Circuit with Discontinuities
- One DOF Mechanical System with Friction
- A Mechanical System with 7 DOF
- Triple Pendulum with Impacts
- Analytical Prediction of Stick-Slip Chaos
- and other topics.
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