Period-doubling cascades for large perturbations of Hénon families

被引：0

作者：

Evelyn Sander

James A. Yorke

机构：

[1] George Mason University,Department of Mathematical Sciences

[2] University of Maryland,Department of Mathematics, IPST, and Physics Department

来源：

Journal of Fixed Point Theory and Applications | 2009年 / 6卷

关键词：

37B; 37D; 37E; 37G; Hénon map; bifurcation; cascades; period doubling; horseshoe;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The Hénon family has been shown to have period-doubling cascades. We show here that the same occurs for a much larger class: Large perturbations do not destroy cascades. Furthermore, we can classify the period of a cascade in terms of the set of orbits it contains, and count the number of cascades of each period. This class of families extends a general theory explaining why cascades occur [5].

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