Elena Rybalova

83 Astrakhanskaya Street, Saratov, Russia
Saratov State University


Nikishina N. N., Rybalova E. V., Strelkova G. I., Vadivasova T. E.
We study numerically 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. Without noise, the ring of chaotic maps exhibits a chimera state. The impact of noisemodulated coupling between the ring elements is explored when the parameter, which controls the correlation time and the spectral width of colored noise, and the noise intensity are varied. We investigate how the spatio-temporal structures observed in the ring evolve as the noise parameters change. The numerical results obtained are used to construct regime diagrams for the two cases of noise modulation. Our findings show the possibility of controlling the spatial structures in the ring in the presence of noise. Depending on the type of noise modulation, the spectral properties and intensity of colored noise, one can suppress the incoherent clusters of chimera states, and induce the regime of solitary states or synchronize chaotic oscillations of all the ring elements.
Keywords: spatio-temporal dynamics, network, nonlocal coupling, chimera state, colored noise, noise modulation
Citation: Nikishina N. N., Rybalova E. V., Strelkova G. I., Vadivasova T. E.,  Destruction of Cluster Structures in an Ensemble of Chaotic Maps with Noise-modulated Nonlocal Coupling, Regular and Chaotic Dynamics, 2022, vol. 27, no. 2, pp. 242-251
Rybalova E. V., Klyushina D. Y., Anishchenko V. S., Strelkova G. I.
This paper presents results of numerical statistical analysis of the effect of shortterm localized noise of different intensity on the amplitude chimera lifetime in an ensemble of nonlocally coupled logistic maps in a chaotic regime. It is shown that a single and rather weak noise perturbation added only to the incoherence cluster of the amplitude chimera after its switching to the phase chimera mode is able to revive and stabilize the amplitude chimera, as well as to increase its lifetime to infinity. It is also analyzed how the amplitude chimera lifetime depends on the duration of noise influence of different intensity.
Keywords: ensemble, nonlocal coupling, amplitude and phase chimeras, logistic map, noise
Citation: Rybalova E. V., Klyushina D. Y., Anishchenko V. S., Strelkova G. I.,  Impact of Noise on the Amplitude Chimera Lifetime in an Ensemble of Nonlocally Coupled Chaotic Maps, Regular and Chaotic Dynamics, 2019, vol. 24, no. 4, pp. 432-445

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