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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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
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spelling doaj-a5ed4ca2462a4f16a8bb67d3d37d3bc62021-03-12T00:02:49ZengMDPI AGMathematics2227-73902021-03-01960160110.3390/math9060601Emergence of Self-Organized Dynamical Domains in a Ring of Coupled Population OscillatorsAlexey V. Rusakov0Dmitry A. Tikhonov1Nailya I. Nurieva2Alexander B. Medvinsky3Institute of Theoretical and Experimental Biophysics, Institutskaja St., 3, 142290 Pushchino, Moscow Region, RussiaInstitute of Theoretical and Experimental Biophysics, Institutskaja St., 3, 142290 Pushchino, Moscow Region, RussiaInstitute of Theoretical and Experimental Biophysics, Institutskaja St., 3, 142290 Pushchino, Moscow Region, RussiaInstitute of Theoretical and Experimental Biophysics, Institutskaja St., 3, 142290 Pushchino, Moscow Region, RussiaWe 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.https://www.mdpi.com/2227-7390/9/6/601coupled chaotic oscillatorsresonancesuppresion of chaosdynamical domains
collection DOAJ
language English
format Article
sources DOAJ
author Alexey V. Rusakov
Dmitry A. Tikhonov
Nailya I. Nurieva
Alexander B. Medvinsky
spellingShingle Alexey V. Rusakov
Dmitry A. Tikhonov
Nailya I. Nurieva
Alexander B. Medvinsky
Emergence of Self-Organized Dynamical Domains in a Ring of Coupled Population Oscillators
Mathematics
coupled chaotic oscillators
resonance
suppresion of chaos
dynamical domains
author_facet Alexey V. Rusakov
Dmitry A. Tikhonov
Nailya I. Nurieva
Alexander B. Medvinsky
author_sort Alexey V. Rusakov
title Emergence of Self-Organized Dynamical Domains in a Ring of Coupled Population Oscillators
title_short Emergence of Self-Organized Dynamical Domains in a Ring of Coupled Population Oscillators
title_full Emergence of Self-Organized Dynamical Domains in a Ring of Coupled Population Oscillators
title_fullStr Emergence of Self-Organized Dynamical Domains in a Ring of Coupled Population Oscillators
title_full_unstemmed Emergence of Self-Organized Dynamical Domains in a Ring of Coupled Population Oscillators
title_sort emergence of self-organized dynamical domains in a ring of coupled population oscillators
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2021-03-01
description 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.
topic coupled chaotic oscillators
resonance
suppresion of chaos
dynamical domains
url https://www.mdpi.com/2227-7390/9/6/601
work_keys_str_mv AT alexeyvrusakov emergenceofselforganizeddynamicaldomainsinaringofcoupledpopulationoscillators
AT dmitryatikhonov emergenceofselforganizeddynamicaldomainsinaringofcoupledpopulationoscillators
AT nailyainurieva emergenceofselforganizeddynamicaldomainsinaringofcoupledpopulationoscillators
AT alexanderbmedvinsky emergenceofselforganizeddynamicaldomainsinaringofcoupledpopulationoscillators
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