Chaos synchronization by nonlinear coupling

Petereit, Johannes; Pikovsky, Arkady

doi:10.1016/j.cnsns.2016.09.002

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Chaos synchronization by nonlinear coupling

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Petereit, Johannes
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Pikovsky, Arkady
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Petereit, J., Pikovsky, A. (2017): Chaos synchronization by nonlinear coupling. - Communications in Nonlinear Science and Numerical Simulation, 44, 344-351.
https://doi.org/10.1016/j.cnsns.2016.09.002

Cite as: https://gfzpublic.gfz-potsdam.de/pubman/item/item_1753889

Abstract

We study synchronization properties of three nonlinearly coupled chaotic maps. Coupling is introduced in such a way, that it cannot be reduced to pairwise terms, but includes combined action of all interacting units. For two models of nonlinear coupling we characterize the transition to complete synchrony, as well as partially synchronized states. Relation to hypernetworks of chaotic units is also discussed.