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Keywords = suppresion of chaos

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13 pages, 1210 KiB  
Article
Emergence of Self-Organized Dynamical Domains in a Ring of Coupled Population Oscillators
by Alexey V. Rusakov, Dmitry A. Tikhonov, Nailya I. Nurieva and Alexander B. Medvinsky
Mathematics 2021, 9(6), 601; https://doi.org/10.3390/math9060601 - 11 Mar 2021
Cited by 2 | Viewed by 1691
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 [...] Read more.
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. Full article
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