Renormalization Group Reduction of Symplectic Maps
نویسنده
چکیده
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.
منابع مشابه
S ep 2 00 3 Liouville Operator Approach to Symplecticity - Preserving Renormalization Group Method
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. PACS-1995: 03.20.+i , 47.20.Ky, 02.30.Mv, 64.60.Ak.
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