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Generalized synchronization of chaos in non-invertible maps

V. Afraimovich·A. Cordonet·N. F. Rulkov
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Abstract

The properties of functional relation between a non-invertible chaotic drive and a response map in the regime of generalized synchronization of chaos are studied. It is shown that despite a very fuzzy image of the relation between the current states of the maps, the functional relation becomes apparent when a sufficient interval of driving trajectory is taken into account. This paper develops a theoretical framework of such functional relation and illustrates the main theoretical conclusions using numerical simulations.

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V. Afraimovich, A. Cordonet, N. F. Rulkov. 2002-05-02. Generalized synchronization of chaos in non-invertible maps. https://doi.org/10.1103/physreve.66.016208

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