Analytical Expression for Low-Dimensional Resonance Islands in a 4-Dimensional Symplectic Map | Zendy

Shinitiro Goto | Zendy

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Analytical Expression for Low-Dimensional Resonance Islands in a 4-Dimensional Symplectic Map

Author(s) -

Shinitiro Goto

Publication year - 2006

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.115.251

Subject(s) - symplectic geometry , physics , integrable system , perturbation (astronomy) , resonance (particle physics) , symplectomorphism , symplectic integrator , mathematical physics , perturbation theory (quantum mechanics) , expression (computer science) , moment map , mathematical analysis , quantum mechanics , mathematics , computer science , programming language

We study a 2- and a 4-dimensional nearly integrable symplectic maps using asingular perturbation method. Resonance island structures in the 2- and 4-dimensional maps are successfully obtained. Those perturbative results arenumerically confirmed.Comment: To appear in Prog. Theor. Phy

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