Topological Entropy of One Type of Nonoriented Lorenz-Type Maps

被引：0

作者：

Feng, Guo ^{[1
]}

机构：

[1] Shandong Womens Univ, Basic Subject Dept, Jinan 250300, Peoples R China

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2016年 / 2016卷

关键词：

D O I：

10.1155/2016/6987471

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Constructing a Poincare map is a method that is often used to study high-dimensional dynamical systems. In this paper, a geometric model of nonoriented Lorenz-type attractor is studied using this method, and its dynamical property is described. The topological entropy of one-dimensional nonoriented Lorenz-type maps is also computed in terms of their kneading sequences.

引用

页数：5

共 8 条

[1]

Afraimovich V., 2003, Lectures on chaotic dynamical systems

[2]

Afraimovich V.S., 1983, T MOSCOW MATH SOC, V2, P153

[3]

deMelo W., 1993, One-Dimensional Dynamics, V25

[4]

Guckenheimer J., 1976, Applied Mathematical Series, V9, P368

[5]

Guckenheimer J., 1980, PUBL MATH IEHS, V50, P59

[6]

Shilnikov A. L., 1991, SELECTA MATH SOVIETI, V10, P455

[7] ON BIFURCATIONS OF THE LORENZ ATTRACTOR IN THE SHIMIZU-MORIOKA MODEL [J].

SHILNIKOV, AL .

PHYSICA D, 1993, 62 (1-4) :338-346

[8]

Williams R.F., 1979, PUBL MATH-PARIS, V50, P101

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