Emergence of Self-Organized Dynamical Domains in a Ring of Coupled Population Oscillators

Emergence of Self-Organized Dynamical Domains in a Ring of Coupled Population Oscillators

We show that interactions of inherently chaotic oscillators can lead to coexistence of regular oscillatory regimes and chaotic oscillations in the rings of coupled oscillators provided that the level of interaction between the oscillators exceeds a threshold value. The transformation of the initiall...

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Bibliographic Details
Main Authors: Alexey V. Rusakov, Dmitry A. Tikhonov, Nailya I. Nurieva, Alexander B. Medvinsky
Format: Article
Language:English
Published: MDPI AG 2021-03-01
Series:Mathematics
Subjects:
coupled chaotic oscillators
resonance
suppresion of chaos
dynamical domains
Online Access:https://www.mdpi.com/2227-7390/9/6/601
Description
Summary:We show that interactions of inherently chaotic oscillators can lead to coexistence of regular oscillatory regimes and chaotic oscillations in the rings of coupled oscillators provided that the level of interaction between the oscillators exceeds a threshold value. The transformation of the initially chaotic dynamics into the regular dynamics in a number of the coupled oscillators is shown to result from suppression of chaos by separation of certain oscillation periods from the continuous spectra, which are characteristic of chaotic oscillations.
ISSN:2227-7390

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