Synchronization of Extended Chaotic Systems with Long-Range Interactions: An Analogy to Lévy-Flight Spreading of Epidemics

Claudio Juan Tessone, Massimo Cencini, and Alessandro Torcini
Phys. Rev. Lett. 97, 224101 – Published 29 November 2006

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 Lévy-flight spreading of epidemic processes.

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  • Received 28 July 2006

DOI:https://doi.org/10.1103/PhysRevLett.97.224101

©2006 American Physical Society

Authors & Affiliations

Claudio Juan Tessone1,2, Massimo Cencini3, and Alessandro Torcini2,4

  • 1Institut Mediterrani d’Estudis Avançats, CSIC-UIB, Edifici Mateu Orfila, Campus UIB, 07122 Palma de Mallorca, Spain
  • 2Istituto dei Sistemi Complessi - CNR, via Madonna del Piano 10, 50019 Sesto Fiorentino, Italy
  • 3INFM-CNR, SMC Dipartimento di Fisica, Università di Roma “La Sapienza”, piazzale A. Moro 2, 00185 Roma, Italy and Istituto dei Sistemi Complessi - CNR, via dei Taurini 19, 00185 Roma, Italy
  • 4INFN - Sezione di Firenze, via Sansone 1, 50019 Sesto Fiorentino, Italy

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Issue

Vol. 97, Iss. 22 — 1 December 2006

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