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

Alexey V. Rusakov, Dmitry A. Tikhonov, Nailya I. Nurieva and Alexander B. Medvinsky
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Alexey V. Rusakov: Institute of Theoretical and Experimental Biophysics, Institutskaja St., 3, 142290 Pushchino, Moscow Region, Russia
Dmitry A. Tikhonov: Institute of Theoretical and Experimental Biophysics, Institutskaja St., 3, 142290 Pushchino, Moscow Region, Russia
Nailya I. Nurieva: Institute of Theoretical and Experimental Biophysics, Institutskaja St., 3, 142290 Pushchino, Moscow Region, Russia
Alexander B. Medvinsky: Institute of Theoretical and Experimental Biophysics, Institutskaja St., 3, 142290 Pushchino, Moscow Region, Russia

Mathematics, 2021, vol. 9, issue 6, 1-13

Abstract: 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.

Keywords: coupled chaotic oscillators; resonance; suppresion of chaos; dynamical domains (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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