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Abstract: It is shown that critical phenomena associated with Siegel disk, intrinsic to1D complex analytical maps, survives in 2D complex invertible dissipativeH\-{e}non map. Special numerical method of estimation of the Siegel diskscaling center position for 1D maps it corresponds to extremum formulti-dimensional invertible maps are developed.



Author: O.B. Isaeva, S.P. Kuznetsov

Source: https://arxiv.org/







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