Analytical Expression for Low-dimensional Resonance Island in 4-dimensional Symplectic Map

Details Analytical Expression for Low-dimensional Resonance Island in 4-dimensional Symplectic Map Analytical Expression for Low-dimensional Resonance Island in 4-dimensional Symplectic Map

2005-12-26

arxiv.org/abs/nlin/0512073v1

Nonlinear Sciences

Chaotic Dynamics

To appear in Prog. Theor. Phys

Scientific paper

10.1143/PTP.115.251

We study a 2- and a 4-dimensional nearly integrable symplectic maps using a
singular perturbation method. Resonance island structures in the 2- and 4-
dimensional maps are successfully obtained. Those perturbative results are
numerically confirmed.

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