TOPOLOGICAL CONJUGATION OF LORENZ MAPS BY BETA-TRANSFORMATIONS

被引：40

作者：

GLENDINNING, P

机构：

[1] Department of Applied Mathematics and Theoretical Physics, Cambridge CB3 9EW, Silver Street

来源：

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 1990年 / 107卷

关键词：

D O I：

10.1017/S0305004100068675

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Necessary and sufficient conditions for a Lorenz map to be topologically conjugate to a piecewise linear map with constant slope (a /?-transformation) are given, first in terms of kneading invariants of the maps and then in terms of the topological entropy restricted to basic sets. The dynamics of /?-transformations is also described. © 1990, Cambridge Philosophical Society. All rights reserved.

引用

页码：401 / 413

页数：13

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