Regularized Renormalization Group Reduction of Symplectic Maps
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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 successfully.
- Journal of the Physical Society of Japan
Journal of the Physical Society of Japan 70(1), 49-54, 2001-01-15
The Physical Society of Japan (JPS)