Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2003-09-27
Nonlinear Sciences
Chaotic Dynamics
10 pages
Scientific paper
10.1143/PTP.111.463
A symplecticity-preserving RG analysis is carried out to study a resonance structure near an elliptic fixed point of a proto-type symplectic map in two dimensions. Through analyzing fixed points of a reduced RG map, a topology of the resonance structure such as a chain of resonant islands can be determined analytically. An application of this analysis to the Henon map is also presented.
Goto Shin-itiro
Maruo Tsuyoshi
Nozaki Kazuhiro
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