Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2006-07-28
Phys. Rev. Lett. 97, 224101 (2006)
Nonlinear Sciences
Chaotic Dynamics
4 revTeX4.0 pages, 3 color figs;added references and minor changes;Revised version accepted for pubblication on PRL
Scientific paper
10.1103/PhysRevLett.97.224101
Spatially extended chaotic systems with power-law decaying interactions are considered. Two coupled replicas of such systems synchronize to a common spatio-temporal chaotic state above a certain coupling strength. The synchronization transition is studied as a nonequilibrium phase transition and its critical properties are analyzed at varying the interaction range. The transition is found to be always continuous, while the critical indexes vary with continuity with the power law exponent characterizing the interaction. Strong numerical evidences indicate that the transition belongs to the {\it anomalous directed percolation} family of universality classes found for L{\'e}vy-flight spreading of epidemic processes.
Cencini Massimo
Tessone Claudio Juan
Torcini Alessandro
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