Qualitative theory of dynamical systems
著者
書誌事項
Qualitative theory of dynamical systems
(World scientific advanced series in dynamical systems, v. 12)
World Scientific, c1993
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内容説明・目次
内容説明
This book deals with the global qualitative behavior of flows and diffeomorphisms. It presents a systematic study of the fundamental theory and method of dynamical systems, from local behavior near a critical (fixed) point or periodic orbit to the global, such as global structural stability, bifurcations and chaos. It emphasizes the global non-hyperbolicity and introduces some new results obtained by Chinese mathematicians which may not be widely known.
目次
- Preliminary
- dynamical systems on manifolds
- local properties of flows and diffeomophisms
- structural stability and hyperbolicity
- bifurcations and chaos
- generic properties.
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