Renormalization Analysis of Resonance Structure in a 2-D Symplectic Map | Zendy

T. Maruo | Zendy; Shinitiro Goto | Zendy; Kazuhiro Nozaki | Zendy

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Renormalization Analysis of Resonance Structure in a 2-D Symplectic Map

Author(s) -

T. Maruo,

Shinitiro Goto,

Kazuhiro Nozaki

Publication year - 2004

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.111.463

Subject(s) - symplectic geometry , physics , resonance (particle physics) , fixed point , symplectomorphism , renormalization , hénon map , type (biology) , mathematical physics , mathematical analysis , quantum mechanics , mathematics , computer science , ecology , artificial intelligence , chaotic , biology

A symplecticity-preserving RG analysis is carried out to study a resonancestructure near an elliptic fixed point of a proto-type symplectic map in twodimensions. Through analyzing fixed points of a reduced RG map, a topology ofthe resonance structure such as a chain of resonant islands can be determinedanalytically. An application of this analysis to the Henon map is alsopresented.Comment: 10 page

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