Piecewise-smooth dynamical systems : theory and applications
著者
書誌事項
Piecewise-smooth dynamical systems : theory and applications
（Applied mathematical sciences, v. 163）
Springer, c2008
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注記
Bibliography: p. [459]-473
Includes index
Other authers: C. J. Budd, A. R. Champneys, P. Kowalczyk
内容説明・目次
内容説明
This book presents a coherent framework for understanding the dynamics of piecewise-smooth and hybrid systems. An informal introduction expounds the ubiquity of such models via numerous. The results are presented in an informal style, and illustrated with many examples. The book is aimed at a wide audience of applied mathematicians, engineers and scientists at the beginning postgraduate level. Almost no mathematical background is assumed other than basic calculus and algebra.
目次
Qualitative theory of non-smooth dynamical systems.- Border-collision in piecewise-linear continuous maps.- Bifurcations in general piecewise-smooth maps.- Boundary equilibrium bifurcations in flows.- Limit cycle bifurcations in impacting systems.- Limit cycle bifurcations in piecewise-smooth flows.- Sliding bifurcations in Filippov systems.- Further applications and extensions.
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