Synchronization time in a hyperbolic dynamical system with long-range interactions

Rodrigo F. Pereira, Sandro E. de S. Pinto and Sergio R. Lopes

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 22, 5279-5286

Abstract: We show that the threshold of complete synchronization in a lattice of coupled non-smooth chaotic maps is determined by linear stability along the directions transversal to the synchronization subspace. We examine carefully the synchronization time and show that an inadequate observation of the system evolution leads to wrong results. We present both careful numerical experiments and a rigorous mathematical explanation confirming this fact, allowing for a generalization involving hyperbolic coupled map lattices.

Keywords: Coupled map lattices; Long-range interactions; Synchronization time (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:22:p:5279-5286

DOI: 10.1016/j.physa.2010.06.051

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