Bifurcation theory and methods of dynamical systems
著者
書誌事項
Bifurcation theory and methods of dynamical systems
（World scientific advanced series in dynamical systems, v. 15）
World Scientific, c1997
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内容説明・目次
内容説明
Dynamical bifurcation theory is concerned with the changes that occur in the global structure of dynamical systems as parameters are varied. This book makes recent research in bifurcation theory of dynamical systems accessible to researchers interested in this subject. In particular, the relevant results obtained by Chinese mathematicians are introduced as well as some of the works of the authors which may not be widely known. The focus is on the analytic approach to the theory and methods of bifurcations. The book prepares graduate students for further study in this area, and it serves as a ready reference for researchers in nonlinear sciences and applied mathematics.
目次
- Concept of bifurcation
- bifurcations of 2-dimensional systems
- polynomial Lienard systems of dimension 2
- periodic solutions of periodic perturbation systems and integral manifolds
- bifurcation of higher dimensional systems
- Melnikov vector and homoclinic and heteroclinic orbits in higher dimensional systems.
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