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

Shin-itiro Goto
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Abstract

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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Shin-itiro Goto. 2005-12-26. Analytical Expression for Low-dimensional Resonance Island in 4-dimensional Symplectic Map. https://doi.org/10.1143/ptp.115.251

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