Contact Bifurcations in Two-Dimensional Endomorphisms Related with Homoclinic or Heteroclinc Orbits
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چکیده
In this paper we show the homoclinic bifurcations which are involved in some contact bifurcations of basins of attraction in noninvertible two-dimensional map. That is, we are interested in the link between contact bifurcations of a chaotic area and homoclinic bifurcations of a saddle point or of an expanding fixed point located on the boundary of the basin of attraction of the chaotic area. We shall analyze the particular case of a map having up to three distinct preimages, and the basins’s bifurcations are investigated by use of the technique of critical curves.
منابع مشابه
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تاریخ انتشار 2010