Effect of additive noise on the probability of observing chimera states
Vasilij A.Nechaev1, Elena V.Rybalova1, Galina I. Strelkova1
1Saratov State University, Saratov, Russia
Abstract
We study numerically the spatiotemporal dynamics of rings of nonlocal coupled discrete-time chaotic systems in the presence of additive noise. The robustness of chimera states with respect to noise perturbations is explored for two ensembles in which the individual elements are described by either logistic maps or Henon maps in the chaotic regime. Numerical simulations are performed for a set of different noise realizations and random initial conditions to provide reliable statistical data. We find that there is a finite and sufficiently wide region with respect to the coupling strength and the noise intensity where the probability of observing the chimera states is high.
The research was carried out in the framework of the grant of the Russian Science Foundation (project no. 20-12-00119).
Speaker
Vasilij Nechaev
Saratov State University
Russian
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