Chaos in periodically perturbed planar Hamiltonian systems using linked twist maps

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:249

Article

Margheri, Alessandro^1,2  Rebelo, Carlota^1,2  Zanolin, Fabio³ 

[1] Fac Ciencias Lisboa, P-1649003 Lisbon, Portugal

[2] Ctr Matemat & Aplicacoes Fundamentais, P-1649003 Lisbon, Portugal

[3] Univ Udine, Dept Math & Comp Sci, I-33100 Udine, Italy

关键词: Periodic points;    Chaotic dynamics;    Topological horseshoes;    Linked twist maps;    Hamiltonian systems;   

DOI  :  10.1016/j.jde.2010.08.021

来源: Elsevier

【 摘 要 】

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. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free