Universal Critical Behavior of the Synchronization Transition in Delayed Chaotic Systems
Statistical Mechanics
2016-08-16 v1 Chaotic Dynamics
Abstract
We numerically investigate the critical behavior of the synchronization transition of two unidirectionally coupled delayed chaotic systems. We map the problem to a spatially extended system to show that the synchronization transition in delayed systems exhibits universal critical properties. We find that the synchronization transition is absorbing and generically belongs to the universality class of the bounded Kardar-Parisi-Zhang equation, as occurs in the case of extended systems. We also argue that directed percolation critical behavior may emerge for systems with strong nonlinearities
Keywords
Cite
@article{arxiv.cond-mat/0503704,
title = {Universal Critical Behavior of the Synchronization Transition in Delayed Chaotic Systems},
author = {Ivan G. Szendro and Juan M. López},
journal= {arXiv preprint arXiv:cond-mat/0503704},
year = {2016}
}
Comments
To appear in Phys. Rev. E (Rapid Communication), 4 pages RevTeX style, 5 eps figures