Filtering of spatial modes in chaotic ensembles with non-local coupling

Abstract

The paper is devoted to the study of formation of spatial structures in ensembles of chaotic systems with non-local diffusion couples; the influence of the wave characteristic of a digital filter formed by links between elements of the ensemble on these structures. The study is carried out by numerical modeling of an ensemble of logistic maps under random initial values, calculation of typical oscillatory modes and their spectral analysis. The networking system is considered as a digital filter, whose frequency response depends on coupling parameters. It is revealed that the shape of the spatial spectrum of oscillations in the spatio - temporal chaotic regime is defined by the shape of the amplitude-wave characteristic of the system of couples between the maps.

Speaker

Alexey Shabunin
Saratov State University, Radiophysics and Nonlinear Dynamics Department
Russia

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