Renormalization Analysis of Resonance Structure in 2-D Symplectic Map
Tsuyoshi Maruo, Shin-itiro Goto, Kazuhiro Nozaki
Abstract
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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