Homoclinic orbits and bifurcation of entropy-carrying hit-sets
نویسنده
چکیده
We study a generic piecewise monotone map f : [0, 1] → [0, 1] with a particular type of entropy-carrying set X. We show under certain conditions that maps sufficiently C-close to f with more topological entropy have entropy-carrying sets containing X. New homoclinic orbits are created to every periodic point of X. 2000 Mathematics Subject Classification (MSC2000). 37E05, 37B40, 37Gxx
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تاریخ انتشار 2003