Finite-density-induced motility and turbulence of chimera solitons
- We consider a one-dimensional oscillatory medium with a coupling through a diffusive linear field. In the limit of fast diffusion this setup reduces to the classical Kuramoto–Battogtokh model. We demonstrate that for a finite diffusion stable chimera solitons, namely localized synchronous domain in an infinite asynchronous environment, are possible. The solitons are stable also for finite density of oscillators, but in this case they sway with a nearly constant speed. This finite-density-induced motility disappears in the continuum limit, as the velocity of the solitons is inverse proportional to the density. A long-wave instability of the homogeneous asynchronous state causes soliton turbulence, which appears as a sequence of soliton mergings and creations. As the instability of the asynchronous state becomes stronger, this turbulence develops into a spatio-temporal intermittency.
Author details: | Lev A. SmirnovORCiD, Maxim BolotovORCiD, Dmitri Bolotov, Grigory V. OsipovORCiDGND, Arkady PikovskyORCiDGND |
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URN: | urn:nbn:de:kobv:517-opus4-574281 |
DOI: | https://doi.org/10.25932/publishup-57428 |
ISSN: | 1866-8372 |
Title of parent work (German): | Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe |
Publication series (Volume number): | Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe (1291) |
Publication type: | Postprint |
Language: | English |
Date of first publication: | 2023/01/10 |
Publication year: | 2022 |
Publishing institution: | Universität Potsdam |
Release date: | 2023/01/10 |
Tag: | chimera; finite-size effects; soliton |
Issue: | 1291 |
Number of pages: | 15 |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
DDC classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
Peer review: | Referiert |
Publishing method: | Open Access / Green Open-Access |
License (German): | CC-BY - Namensnennung 4.0 International |
External remark: | Bibliographieeintrag der Originalveröffentlichung/Quelle |