Poincare recurrences of coupled subsystems in synchronized regimes

被引：10

作者：

Afraimovich, V ^{[1
]}

机构：

[1] Natl Tsing Hua Univ, Dept Math, Hsinchu 30043, Taiwan

[2] UASLP, IICO, San Luis Potosi 78000, Mexico

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 1999年 / 3卷 / 02期

关键词：

synchronization; Hausdorff dimension; Poincare recurrence; box dimension; chaos;

D O I：

10.11650/twjm/1500407090

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a notion of topological synchronization by using Poincare recurrences of coupled subsystems. We show that the dimension of Poincare recurrences may indicate synchronized behavior.

引用

页码：139 / 161

页数：23

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