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Chimera patterns in the Kuramoto-Battogtokh model
- Kuramoto and Battogtokh (2002 Nonlinear Phenom. Complex Syst. 5 380) discovered chimera states represented by stable coexisting synchrony and asynchrony domains in a lattice of coupled oscillators. After a reformulation in terms of a local order parameter, the problem can be reduced to partial differential equations. We find uniformly rotating, spatially periodic chimera patterns as solutions of a reversible ordinary differential equation, and demonstrate a plethora of such states. In the limit of neutral coupling they reduce to analytical solutions in the form of one-and two-point chimera patterns as well as localized chimera solitons. Patterns at weakly attracting coupling are characterized by virtue of a perturbative approach. Stability analysis reveals that only the simplest chimeras with one synchronous region are stable.
Verfasserangaben: | Lev A. SmirnovORCiD, Grigory V. OsipovORCiDGND, Arkadij PikovskijORCiDGND |
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DOI: | https://doi.org/10.1088/1751-8121/aa55f1 |
ISSN: | 1751-8113 |
ISSN: | 1751-8121 |
Titel des übergeordneten Werks (Englisch): | Journal of physics : A, Mathematical and theoretical |
Verlag: | IOP Publ. Ltd. |
Verlagsort: | Bristol |
Publikationstyp: | Wissenschaftlicher Artikel |
Sprache: | Englisch |
Datum der Erstveröffentlichung: | 16.01.2017 |
Erscheinungsjahr: | 2017 |
Datum der Freischaltung: | 24.06.2022 |
Freies Schlagwort / Tag: | Ott-Antonsen reduction; chimera state; coarse-grained order parameter; linear stability analysis; nonlocal coupled oscillators; perturbation approach |
Band: | 50 |
Ausgabe: | 8 |
Seitenanzahl: | 10 |
Organisationseinheiten: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
DDC-Klassifikation: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
Peer Review: | Referiert |