Liouville Operator Approach to Symplecticity-Preserving Renormalization Group Method

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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Scientific paper

10.1016/j.physd.2004.02.004

We present a method to construct symplecticity-preserving renormalization
group maps by using the Liouville operator, and obtain correctly reduced
symplectic maps describing their long-time behavior even when a resonant island
chain appears.

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