Coupled nonlinear oscillators can present complex spatiotemporal behaviors. Here, we report the coexistence of coherent and incoherent domains, called chimera states, in an array of identical Duffing oscillators coupled to their nearest neighbors. The chimera states show a significant variation of amplitude in the desynchronized domain. These intriguing states are observed in the bistability region between a homogeneous state and a spatiotemporal chaotic one. These dynamical behaviors are characterized by their Lyapunov spectra and their global phase coherence order parameter. The local coupling between oscillators prevents one domain from invading the other one. Depending on initial conditions, a family of chimera states appear, organized in a snaking-like diagram.
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August 2018
Research Article|
August 31 2018
Chimera states in a Duffing oscillators chain coupled to nearest neighbors
M. G. Clerc;
M. G. Clerc
1
Departamento de Física and Millennium Institute for Research in Optics, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile
, Casilla, 487-3 Santiago, Chile
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S. Coulibaly;
S. Coulibaly
2
Université de Lille, CNRS, UMR 8523-PhLAM-Physique des Lasers Atomes et Molécules
, F-59000 Lille, France
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M. A. Ferré;
M. A. Ferré
1
Departamento de Física and Millennium Institute for Research in Optics, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile
, Casilla, 487-3 Santiago, Chile
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R. G. Rojas
R. G. Rojas
3
Intituto de Física, Pontificia Universidad Católica de Valparaíso
, Casilla, 4059 Valparaíso, Chile
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Chaos 28, 083126 (2018)
Article history
Received:
February 06 2018
Accepted:
July 31 2018
Citation
M. G. Clerc, S. Coulibaly, M. A. Ferré, R. G. Rojas; Chimera states in a Duffing oscillators chain coupled to nearest neighbors. Chaos 1 August 2018; 28 (8): 083126. https://doi.org/10.1063/1.5025038
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