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Liouville Operator Approach to Symplecticity-Preserving Renormalization Group Method

Shin-itiro Goto·Kazuhiro Nozaki
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Abstract

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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Shin-itiro Goto, Kazuhiro Nozaki. 2003-09-05. Liouville Operator Approach to Symplecticity-Preserving Renormalization Group Method. https://doi.org/10.1016/j.physd.2004.02.004

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