一类平面系统中具有异宿环的一阶混沌。

Rank one chaos in a class of planar systems with heteroclinic cycle.

机构信息

Department of Mathematics, Shanghai Normal University, Shanghai 200234, People's Republic of China.

出版信息

Chaos. 2009 Dec;19(4):043122. doi: 10.1063/1.3263945.

PMID:20059218

Abstract

In this paper, we study rank one chaos in a class of planar systems with heteroclinic cycle. We first find a stable limit cycle inside the heteroclinic cycle. We then add an external periodic forcing to create rank one chaos. We follow a step-by-step procedure guided by the theory of rank one chaos to find experimental evidence of strange attractors with Sinai, Ruelle, and Bowen measures.

摘要

在本文中，我们研究了一类具有异宿环的平面系统中的秩一混沌。我们首先在异宿环内找到一个稳定的极限环。然后，我们通过外部周期强迫来产生秩一混沌。我们遵循秩一混沌理论的逐步步骤，寻找具有 Sinai、Ruelle 和 Bowen 测度的奇异吸引子的实验证据。