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This article is cited in 6 scientific papers (total in 6 papers)
Alexey Borisov Memorial Volume
Destruction of Cluster Structures in an Ensemble of Chaotic
Maps with Noise-modulated Nonlocal Coupling
Nataliya N. Nikishina, Elena V. Rybalova, Galina I. Strelkova, Tatiyana E. Vadivasova Saratov State University,
ul. Astrakhanskaya 83, 410012 Saratov, Russia
Abstract:
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.
Received: 27.08.2021 Accepted: 16.12.2021
Citation:
Nataliya N. Nikishina, Elena V. Rybalova, Galina I. Strelkova, Tatiyana E. Vadivasova, “Destruction of Cluster Structures in an Ensemble of Chaotic
Maps with Noise-modulated Nonlocal Coupling”, Regul. Chaotic Dyn., 27:2 (2022), 242–251
Linking options:
https://www.mathnet.ru/eng/rcd1163 https://www.mathnet.ru/eng/rcd/v27/i2/p242
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