TY - JOUR
T1 - Chimera-type states induced by local coupling
AU - Clerc, M. G.
AU - Coulibaly, S.
AU - Ferré, M. A.
AU - García-Ñustes, M. A.
AU - Rojas, R. G.
N1 - Publisher Copyright:
© 2016 American Physical Society.
PY - 2016/5/5
Y1 - 2016/5/5
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84966376766&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.93.052204
DO - 10.1103/PhysRevE.93.052204
M3 - Article
AN - SCOPUS:84966376766
VL - 93
JO - Physical Review E
JF - Physical Review E
SN - 2470-0045
IS - 5
M1 - 052204
ER -