Screen LibraryPlanar 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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| Main Authors: | |
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| Corporate Authors: | |
| Group Author: | ; |
| Published: |
De Gruyter,
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| Publisher Address: | Berlin/Boston : |
| Publication Dates: | [2014] |
| Literature type: | eBook |
| Language: | English |
| Subjects: | |
| Online Access: |
http://dx.doi.org/10.1515/9783110298369 http://www.degruyter.com/doc/cover/9783110298369.jpg |
| 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. |
| Carrier Form: |
1 online resource(xviii,371pages) : illustrations Also available in print edition. |
| ISBN: | 9783110298369（electronic bk.） |
| Index Number: | QA845 |
| CLC: | TP15 |
| Contents: |
Frontmatter -- Preface -- Contents -- Chapter 1. Basic Concept and Linearized Problem of Systems -- Chapter 2. Focal Values, Saddle Values and Singular Point Values -- Chapter 3. Multiple Hopf Bifurcations -- Chapter 4. Isochronous Center In Complex Domain -- Chapter 5. Theory of Center-Focus and Bifurcation of Limit Cycles at Infinity of a Class of Systems -- Chapter 6. Theory of Center-Focus and Bifurcations of Limit Cycles for a Class of Multiple Singular Points -- Chapter 7 On Quasi Analytic Systems -- Chapter 8. Local and Non-Local Bifurcations of Perturbed Zq-Equivariant Hamiltonian Vector Fields -- Chapter 9. Center-Focus Problem and Bifurcations of Limit Cycles for a Z2-Equivariant Cubic System -- Chapter 10. Center-Focus Problem and Bifurcations of Limit Cycles for Three-Multiple Nilpotent Singular Points -- Bibliography -- Index. |