Synchronization of Random Linear Maps

Details Synchronization of Random Linear Maps Synchronization of Random Linear Maps

2003-03-27

arxiv.org/abs/nlin/0303064v1

Physica A 339, 237 (2004).

Nonlinear Sciences

Chaotic Dynamics

5 pages, 6 figures

Scientific paper

10.1016/j.physa.2004.03.017

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 synchronization to complete synchronization is also examined.

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