Embedding the symbolic dynamics of Lorenz maps

被引：1
|
作者：
Samuel, Tony [1 ]
Snigireva, Nina [2 ]
Vince, Andrew [3 ]
机构：
[1] Univ Bremen, Fachbereich Math 3, D-28359 Bremen, Germany
[2] Univ Coll Dublin, Sch Math Sci, Dublin 4, Ireland
[3] Univ Florida, Dept Math, Gainesville, FL 32611 USA
来源：
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2014年 / 156卷 / 03期
基金：
澳大利亚研究理事会; 英国工程与自然科学研究理事会;
关键词：
TOPOLOGICAL-ENTROPY; INVARIANT;
D O I：
10.1017/S0305004114000061
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Necessary and sufficient conditions for the symbolic dynamics of a given Lorenz map to be fully embedded in the symbolic dynamics of a piecewise continuous interval map are given. As an application of this embedding result, we describe a new algorithm for calculating the topological entropy of a Lorenz map.
引用
收藏
页码：505 / 519
页数：15
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