Abstract
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.
Citation
Valentin Afraimovich. "POINCAR'E RECURRENCES OF COUPLED SUBSYSTEMS IN SYNCHRONIZED REGIMES." Taiwanese J. Math. 3 (2) 139 - 161, 1999. https://doi.org/10.11650/twjm/1500407090
Information
Published: 1999
First available in Project Euclid: 18 July 2017
zbMATH: 0983.34036
MathSciNet: MR1692777
Digital Object Identifier: 10.11650/twjm/1500407090
Rights: Copyright © 1999 The Mathematical Society of the Republic of China