Siegel disk for complexified Henon map
Chaotic Dynamics
2008-04-29 v1
Abstract
It is shown that critical phenomena associated with Siegel disk, intrinsic to 1D complex analytical maps, survives in 2D complex invertible dissipative H\'{e}non map. Special numerical method of estimation of the Siegel disk scaling center position (for 1D maps it corresponds to extremum) for multi-dimensional invertible maps are developed.
Cite
@article{arxiv.0804.4238,
title = {Siegel disk for complexified Henon map},
author = {O. B. Isaeva and S. P. Kuznetsov},
journal= {arXiv preprint arXiv:0804.4238},
year = {2008}
}
Comments
6 pages, 2 figures