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Regularized Renormalization Group Reduction of Symplectic Map

Shin-itiro Goto·Kazuhiro Nozaki
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Abstract

By means of the perturbative renormalization group method, we study a long-time behaviour of some symplectic discrete maps near elliptic and hyperbolic fixed points. It is shown that a naive renormalization group (RG) map breaks the symplectic symmetry and fails to describe a long-time behaviour. In order to preserve the symplectic symmetry, we present a regularization procedure, which gives a regularized symplectic RG map describing an approximate long-time behaviour succesfully.

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Shin-itiro Goto, Kazuhiro Nozaki. 2000-08-10. Regularized Renormalization Group Reduction of Symplectic Map. https://doi.org/10.1143/jpsj.70.49

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