Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1866591 | Physics Letters A | 2006 | 7 Pages |
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-CvitanoviÄ 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
S.P. Kuznetsov, I.R. Sataev,