%0 Journal Article %1 TES06 %A Tessone, Claudio Juan %A Cencini, Massimo %A Torcini, A. %D 2006 %J Phys.~Rev.~Lett. %K imported %N 22 %P 224101 %R 10.1103/physrevlett.97.224101 %T Synchronization of Extended Chaotic Systems with Long-Range Interactions: An Analogy to Le-acutevy-Flight Spreading of Epidemics %V 97 %X Spatially extended chaotic systems with power-law decaying interactions are considered. Two coupled replicas of such systems synchronize to a common spatiotemporal 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 anomalous directed percolation family of universality classes found for Lévy-flight spreading of epidemic processes.

@article{TES06, abstract = {Spatially extended chaotic systems with power-law decaying interactions are considered. Two coupled replicas of such systems synchronize to a common spatiotemporal 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 anomalous directed percolation family of universality classes found for L{\'e}vy-flight spreading of epidemic processes.}, added-at = {2009-03-03T17:19:04.000+0100}, author = {Tessone, Claudio Juan and Cencini, Massimo and Torcini, A.}, biburl = {https://www.bibsonomy.org/bibtex/2c7cd1fbcd0b48ab39f7538888675ad5f/bronckobuster}, doi = {10.1103/physrevlett.97.224101}, eid = {224101}, interhash = {0d845debca6a57577823a0208e4a1777}, intrahash = {c7cd1fbcd0b48ab39f7538888675ad5f}, journal = {Phys.~Rev.~Lett.}, keywords = {imported}, number = 22, numpages = {4}, pages = 224101, timestamp = {2009-03-03T17:20:02.000+0100}, title = {Synchronization of Extended Chaotic Systems with Long-Range Interactions: An Analogy to L[e-acute]vy-Flight Spreading of Epidemics}, volume = 97, year = 2006 }