Analytical Expression for Low-dimensional Resonance Island in 4-dimensional Symplectic Map
classification
🌊 nlin.CD
keywords
dimensionalislandmapsresonancesymplecticanalyticalconfirmedexpression
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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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