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2013
Impact Factor

Tatiana Vadivasova

Astrakhanskaya str., 83 410026, Saratov, Russia
Saratov State University

Publications:

Bukh A. V., Slepnev A. V., Anishchenko V. S., Vadivasova T. E.
Stability and Noise-induced Transitions in an Ensemble of Nonlocally Coupled Chaotic Maps
2018, vol. 23, no. 3, pp.  325-338
Abstract
The influence of noise on chimera states arising in ensembles of nonlocally coupled chaotic maps is studied. There are two types of chimera structures that can be obtained in such ensembles: phase and amplitude chimera states. In this work, a series of numerical experiments is carried out to uncover the impact of noise on both types of chimeras. The noise influence on a chimera state in the regime of periodic dynamics results in the transition to chaotic dynamics. At the same time, the transformation of incoherence clusters of the phase chimera to incoherence clusters of the amplitude chimera occurs. Moreover, it is established that the noise impact may result in the appearance of a cluster with incoherent behavior in the middle of a coherence cluster.
Keywords: chimera states, noise influence, ensembles of coupled maps, logistic map, Ricker’s map
Citation: Bukh A. V., Slepnev A. V., Anishchenko V. S., Vadivasova T. E.,  Stability and Noise-induced Transitions in an Ensemble of Nonlocally Coupled Chaotic Maps, Regular and Chaotic Dynamics, 2018, vol. 23, no. 3, pp. 325-338
DOI:10.1134/S1560354718030073
Anishchenko V. S., Astakhov S. V., Vadivasova T. E.
Diagnostics of the degree of noise influence on a nonlinear system using relative metric entropy
2010, vol. 15, no. 2-3, pp.  261-273
Abstract
In this paper we summarize and substantiate the relative metric entropy approach introduced in our previous papers [1,2]. Using this approach we study the mixing influence of noise on both regular and chaotic systems. We show that the synchronization phenomenon as well as stochastic resonance decrease, the degree of mixing is caused by white Gaussian noise.
Keywords: noisy dynamical systems, entropy, mixing, Kolmogorov entropy, recurrency plot
Citation: Anishchenko V. S., Astakhov S. V., Vadivasova T. E.,  Diagnostics of the degree of noise influence on a nonlinear system using relative metric entropy, Regular and Chaotic Dynamics, 2010, vol. 15, no. 2-3, pp. 261-273
DOI:10.1134/S1560354710020139

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