Universal Critical Behavior of the Synchronization Transition in Delayed Chaotic Systems
arXiv:cond-mat/0503704 · doi:10.1103/PhysRevE.71.055203
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
To appear in Phys. Rev. E (Rapid Communication), 4 pages RevTeX style, 5 eps figures
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Cited by in corpus (6)
- Evidence of a critical phase transition in a purely temporal dynamics with long-delayed feedback
- Global phase synchronization in an array of time-delay systems
- Synchronizing spatio-temporal chaos with imperfect models: a stochastic surface growth picture
- Synchronization of spatio-temporal chaos as an absorbing phase transition: a study in 2+1 dimensions
- Synchronization transition in space-time chaos in the presence of quenched disorder
- Space Representation of Stochastic Processes with Delay