Synchronization of random linear maps

Adam Lipowski, Ioana Bena, Michel Droz and Antonio L. Ferreira

Physica A: Statistical Mechanics and its Applications, 2004, vol. 339, issue 3, 237-247

Abstract: We study synchronization of random one-dimensional linear maps for which the Lyapunov exponent can be calculated exactly. Certain aspects of the dynamics of these maps are explained using their relation with a random walk. We confirm that the Lyapunov exponent changes sign at the complete synchronization transition. We also consider partial synchronization of nonidentical systems. It turns out that the way partial synchronization manifests depends on the type of differences (in Lyapunov exponent or in contraction points) between the systems. The crossover from partial to complete synchronization is also examined.

Keywords: Synchronization; Random maps; Lyapunov exponent (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:339:y:2004:i:3:p:237-247

DOI: 10.1016/j.physa.2004.03.017

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