Synchronization universality classes and stability of smooth, coupled map lattices
arXiv:cond-mat/0507205 · doi:10.1103/PhysRevE.73.026202
Abstract
We study two problems related to spatially extended systems: the dynamical stability and the universality classes of the replica synchronization transition. We use a simple model of one dimensional coupled map lattices and show that chaotic behavior implies that the synchronization transition belongs to the multiplicative noise universality class, while stable chaos implies that the synchronization transition belongs to the directed percolation universality class.
arXiv comment6 pages, 7 figures
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- Directed percolation criticality due to Stochastic switching between Inhibitory and Excitatory Coupling in Coupled Circle maps
- Synchronization of spatio-temporal chaos as an absorbing phase transition: a study in 2+1 dimensions
- Semiclassical Limit of Measurement-Induced Transition in Many-Body Chaos in Integrable and Nonintegrable Oscillator Chains
- Unifying vectors and matrices of different dimensions through nonlinear embeddings
- Synchronization transition in space-time chaos in the presence of quenched disorder
- From Newton to Cellular Automata