Volume 118, Number 1, April 2017
|Number of page(s)||7|
|Published online||23 May 2017|
Chimera states: Effects of different coupling topologies
1 Physics and Applied Mathematics Unit, Indian Statistical Institute - Kolkata 700108, India
2 Faculty of Natural Sciences and Mathematics, University of Maribor - Koroška cesta 160, SI-2000 Maribor, Slovenia
3 CAMTP – Center for Applied Mathematics and Theoretical Physics - Mladinska 3, SI-2000 Maribor, Slovenia
Received: 21 April 2017
Accepted: 7 May 2017
Collective behavior among coupled dynamical units can emerge in various forms as a result of different coupling topologies as well as different types of coupling functions. Chimera states have recently received ample attention as a fascinating manifestation of collective behavior, in particular describing a symmetry breaking spatiotemporal pattern where synchronized and desynchronized states coexist in a network of coupled oscillators. In this perspective, we review the emergence of different chimera states, focusing on the effects of different coupling topologies that describe the interaction network connecting the oscillators. We cover chimera states that emerge in local, nonlocal and global coupling topologies, as well as in modular, temporal and multilayer networks. We also provide an outline of challenges and directions for future research.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 05.45.-a – Nonlinear dynamics and chaos
© EPLA, 2017
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