Chaos in periodically perturbed planar Hamiltonian systems using linked twist maps
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- 作者：Aless ; ro Margheri ; Carlota Rebelo ; Fabio Zanolin
- 关键词：Periodic points ; Chaotic dynamics ; Topological horseshoes ; Linked twist maps ; Hamiltonian systems
- 刊名：Journal of Differential Equations
- 出版年：2010
- 出版时间：15 December 2010
- 年：2010
- 卷：249
- 期：12
- 页码：3233-3257
- 全文大小：577 K
文摘
We present a simple topological approach for the search of fixed points and the detection of chaotic dynamics for two-dimensional maps satisfying a twist condition on linked annuli. Applications to planar Hamiltonian systems are given.