Siegel disk for complexified Henon map
classification
🌊 nlin.CD
keywords
diskmapssiegelcomplexinvertibleanalyticalassociatedcenter
read the original 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.
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