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Piecewise-smooth dynamical systems : theory and applications

Author: M Di Bernardo
Publisher: London : Springer, ©2008.
Series: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 163.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
"The primary purpose of this book is to present a coherent framework for understanding the dynamics of piecewise-smooth and hybrid systems. An informal introduction asserts the ubiquity of such models with examples drawn from mechanics, electronics, control theory and physiology. The main thrust is to classify complex behavior via bifurcation theory in a systematic yet applicable way. The key concept is that of a  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Piecewise-smooth dynamical systems.
London : Springer, ©2008
(DLC) 2007937295
(OCoLC)144515657
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: M Di Bernardo
ISBN: 9781846280399 1846280397 9781846287084 1846287081
OCLC Number: 233972946
Description: 1 online resource (xxi, 481 pages) : illustrations.
Contents: Introduction --
Qualitative theory of nonsmooth 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 --
References --
Index.
Series Title: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 163.
Responsibility: M. di Bernardo [and others].
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Abstract:

This book presents a coherent framework for understanding the dynamics of piecewise-smooth and hybrid systems. The results are presented in an informal style, and illustrated with many examples. The  Read more...

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From the reviews:"This book is undoubtedly a strong contribution to the field of bifurcation and chaos analysis and more generally to the field of nonsmooth dynamical systems analysis. The authors Read more...

 
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