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About this book
Global Bifurcations and Chaos: Analytical Methods is unique in the literature of chaos in that it not only defines the concept of chaos in deterministic systems, but it describes the mechanisms which give rise to chaos (i.e., homoclinic and heteroclinic motions) and derives explicit techniques whereby these mechanisms can be detected in specific systems. These techniques can be viewed as generalizations of Melnikov's method to multi-degree of freedom systems subject to slowly varying parameters and quasiperiodic excitations. A unique feature of the book is that each theorem is illustrated with drawings that enable the reader to build visual pictures of global dynamcis of the systems being described. This approach leads to an enhanced intuitive understanding of the theory.
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Table of contents (4 chapters)
Authors and Affiliations
Bibliographic Information
Book Title: Global Bifurcations and Chaos
Book Subtitle: Analytical Methods
Authors: Stephen Wiggins
Series Title: Applied Mathematical Sciences
DOI: https://doi.org/10.1007/978-1-4612-1042-9
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag New York, Inc. 1988
Softcover ISBN: 978-1-4612-1041-2Published: 14 March 2014
eBook ISBN: 978-1-4612-1042-9Published: 27 November 2013
Series ISSN: 0066-5452
Series E-ISSN: 2196-968X
Edition Number: 1
Number of Pages: XIV, 495
Topics: Analysis, Theoretical, Mathematical and Computational Physics