Diffeomorphisms with infinitely many Smale horseshoes

被引：0
|
作者：
Zhang, Xu [1 ]
Chen, Guanrong [2 ]
机构：
[1] Shandong Univ, Dept Math, Weihai 264209, Shandong, Peoples R China
[2] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Peoples R China
来源：
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2024年 / 30卷 / 12期
关键词：
Smale horseshoe; hyperbolic invariant set; symbolic dynamical system; coexistence; REAL POLYNOMIAL DIFFEOMORPHISMS; MAXIMAL ENTROPY; HENON MAPS; HYPERBOLICITY; DYNAMICS; C-2;
D O I：
10.1080/10236198.2024.2368170
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A class of planar diffeomorphims is formulated, with infinitely many coexisting Smale horseshoes, where the Lebesgue measure of the parameters with such strange dynamics is infinite. On each horseshoe, there exists a uniformly hyperbolic invariant set, on which the map is topologically conjugate to the two-sided full-shift on two symbols. Moreover, the topological entropy is infinite in certain parameter regions.
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页码：1866 / 1884
页数：19
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