Chimera states: Effects of different coupling topologies

Abstract

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.

7 two-column pages, 4 figures; Perspective accepted for publication in EPL

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Cited by in corpus (10)

• Chimera states in a multilayer network of coupled and uncoupled neurons
• Higher-order interactions promote chimera states
• Coexisting synchronous and asynchronous states in locally coupled array of oscillators by partial self-feedback control
• Traveling chimera patterns in two-dimensional neuronal network
• Spiral wave chimeras in reaction-diffusion systems: phenomenon, mechanism and transitions
• Is repulsion good for the health of Chimeras?
• Self adaptation of chimera states
• Scaling law of transient lifetime of chimera states under dimension-augmenting perturbations
• Dynamics of a 2D lattice of van der Pol oscillators with nonlinear repulsive coupling
• Coupled metronomes on a moving platform with Coulomb friction