Chimera-type states induced by local coupling.
Coupled oscillators can exhibit complex self-organization behavior such as phase turbulence, spatiotemporal intermittency, and chimera states. The latter corresponds to a coexistence of coherent and incoherent states apparently promoted by nonlocal or global coupling. Here we investigate the existence, stability properties, and bifurcation diagram of chimera-type states in a system with local coupling without different time scales. Based on a model of a chain of nonlinear oscillators coupled to adjacent neighbors, we identify the required attributes to observe these states: local coupling and bistability between a stationary and an oscillatory state close to a homoclinic bifurcation. The local coupling prevents the incoherent state from invading the coherent one, allowing concurrently the existence of a family of chimera states, which are organized by a homoclinic snaking bifurcation diagram.
Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla 487-3, Santiago, Chile.
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Clerc
Laboratoire de Physique des Lasers, Atomes et Molécules, CNRS UMR 8523, Université de Lille 1 Sciences et Technologies, 59655 Villeneuve d'Ascq Cedex, France.
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Coulibaly
Instituto de Física, Pontificia Universidad Católica de Valparaíso, casilla 4059, Valparaíso, Chile.
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MA
Ferré
Instituto de Física, Pontificia Universidad Católica de Valparaíso, casilla 4059, Valparaíso, Chile.
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MA
García-Ñustes
Instituto de Física, Pontificia Universidad Católica de Valparaíso, casilla 4059, Valparaíso, Chile.
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RG
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