Planar Dynamical Systems. Selected Classical Problems

This book presents in an elementary way the recent significant developments in the qualitative theory of planar dynamical systems. The subjects are covered as follows: the studies of center and isochronous center problems, multiple Hopf bifurcations and local and global bifurcations of the equivaria...

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Bibliographic Details
Main Authors Liu, Yirong, Li, Jibin, Huang, Wentao
Format eBook
LanguageEnglish
Published De Gruyter 2014
Subjects
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Center and isochronous center
Hilbert's 16th problem
Limit cycle
Mathematics & science
Multiple Hopf and global bifurcations
Planar dynamical system
QA1-939
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ISBN9783110298369
3110298368
DOI10.1515/9783110298369

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Summary:This book presents in an elementary way the recent significant developments in the qualitative theory of planar dynamical systems. The subjects are covered as follows: the studies of center and isochronous center problems, multiple Hopf bifurcations and local and global bifurcations of the equivariant planar vector fields which concern with Hilbert's 16th problem. This book is intended for graduate students, post-doctors and researchers in the area of theories and applications of dynamical systems. For all engineers who are interested the theory of dynamical systems, it is also a reasonable reference. It requires a minimum background of an one-year course on nonlinear differential equations.
ISBN:9783110298369
3110298368
DOI:10.1515/9783110298369