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Dynamics of cluster structures in an ensemble of chaotic maps with noise-modulated nonlocal coupling

N.N. Nikishina1, E.V. Rybalova1, G.I. Strelkova1, T.E. Vadivasova1
1Saratov State University, Saratov, Russia

Abstract

The work investigates the spatio-temporal dynamics of a ring network of nonlocally coupled logistic maps when the coupling strength is modulated by colored Gaussian noise. Two cases of noise modulation are considered: 1) when the coupling coefficients characterizing the influence of neighbors on different elements are subjected to independent noise sources, and 2) when the coupling coefficients for all the network elements are modulated by the same stochastic signal. Based on the results of the study, we have constructed regime maps at varying parameters that control the noise component of coupling. Our findings show the possibility of controlling the spatial structures in the ring in the presence of noise.

Speaker

Nikishina Nataliya
Saratov State University
Russia

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