Universal Critical Behavior of the Synchronization Transition in Delayed Chaotic Systems

Details Universal Critical Behavior of the Synchronization Transition in Delayed Chaotic Systems Universal Critical Behavior of the Synchronization Transition in Delayed Chaotic Systems

2005-03-30

arxiv.org/abs/cond-mat/0503704v1

Physical Review E (Rapid Comm.) 71, 055203 (2005)

Physics

Condensed Matter

Statistical Mechanics

To appear in Phys. Rev. E (Rapid Communication), 4 pages RevTeX style, 5 eps figures

Scientific paper

10.1103/PhysRevE.71.055203

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

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