期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 50, 期 8, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1751-8121/aa55f1
关键词
nonlocal coupled oscillators; chimera state; coarse-grained order parameter; Ott-Antonsen reduction; perturbation approach; linear stability analysis
资金
- ITN COSMOS (European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant) [642563]
- Russian Science Foundation [14-12-00811]
- Ministry of Education and Science of the Russian Federation [1.115.2014/K]
- Russian Science Foundation [14-12-00811] Funding Source: Russian Science Foundation
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.
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