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arXiv · 2307.00006

Chimera resonance in networks of chaotic maps

Elena Rybalova·Vasilii Nechaev·Eckehard Schöll·Galina Strelkova
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Abstract

We explore numerically the impact of additive Gaussian noise on the spatio-temporal dynamics of ring networks of nonlocally coupled chaotic maps. The local dynamics of network nodes is described by the logistic map, the Ricker map, and the Henon map. 2D distributions of the probability of observing chimera states are constructed in terms of the coupling strength and the noise intensity and for several choices of the local dynamics parameters. It is shown that the coupling strength range can be the widest at a certain optimum noise level at which chimera states are observed with a high probability for a large number of different realizations of randomly distributed initial conditions and noise sources. This phenomenon demonstrates a constructive role of noise in analogy with the effects of stochastic and coherence resonance and may be referred to as chimera resonance.

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Elena Rybalova, Vasilii Nechaev, Eckehard Schöll, Galina Strelkova. 2023-07-05. Chimera resonance in networks of chaotic maps. https://arxiv.org/abs/2307.00006

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