Article ID Journal Published Year Pages File Type
1866591 Physics Letters A 2006 7 Pages PDF
Abstract
A novel type of period-doubling scaling behavior in two-dimensional area-preserving maps is reported, a conservative analog of the critical behavior in period-doubling one-dimensional maps with quartic extremum. We present data of numerical solution of the two-dimensional version of the Feigenbaum-Cvitanović RG equation and accurate estimates for the universal constants. Illustrations are given for self-similarity in the phase space and in the parameter space of the model map.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Physics and Astronomy (General)
Authors
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