Renormalization Analysis of Resonance Structure in 2-D Symplectic Map

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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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.

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