Analytical Expression for Low-dimensional Resonance Island in 4-dimensional Symplectic Map
arXiv:nlin/0512073 · doi:10.1143/PTP.115.251
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.
To appear in Prog. Theor. Phys