Article ID Journal Published Year Pages File Type
1897309 Physica D: Nonlinear Phenomena 2011 6 Pages PDF
Abstract
► Renormalization group operators for invariant circles of area-preserving maps with quadratic irrational rotation number are presented. ► The simple fixed points and two-cycles and their scaling exponents are calculated explicitly. ► It is shown that the simple fixed points follow the Principle of Approximate Combination of Scaling Exponents (PACSE).
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
,