Scaling and universality in transition to synchronous chaos with local-global interactions

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Prashant M. Gade^1,2 and Chin-Kun Hu¹
¹Institute of Physics, Academia Sinica, Nankang, Taipei 11529, Taiwan
²Center for Modeling and Simulation, University of Pune, Pune, 411 007, India

Received 30 September 2004; revised 13 December 2005; published 20 March 2006

Westudy the coupled-map lattice model with both local and globalcouplings. We find necessary conditions for observing synchronous chaos andinvestigate the transition to synchronization as a dynamic phase transition.We discover that this transition, if continuous, shows scaling anduniversal behavior with the dynamic exponent z=2. We also defineand illustrate an interesting quantity similar to persistence at criticalpoint.

URL:	http://link.aps.org/doi/10.1103/PhysRevE.73.036212
DOI:	10.1103/PhysRevE.73.036212
PACS:	05.45.Ra; 05.45.Xt 05.45.Ra Coupled map lattices (nonlinear dynamical systems) 05.45.Xt Synchronization; coupled oscillators (nonlinear dynamical systems) YEAR: 2006
KEYWORDS:	chaos, synchronisation, nonlinear dynamical systems, phase transformations, critical points, critical exponents

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