Siegel disk for complexified Henon map

Details Siegel disk for complexified Henon map Siegel disk for complexified Henon map

2008-04-26

arxiv.org/abs/0804.4238v1

Nonlinear Sciences

Chaotic Dynamics

6 pages, 2 figures

Scientific paper

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.

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