The changing notion of chimera states, a critical review

Abstract

Chimera states, states of coexistence of synchronous and asynchronous motion, have been a subject of extensive research since they were first given a name in 2004. Increased interest has lead to their discovery in ever new settings, both theoretical and experimental. Less well-discussed is the fact that successive results have also broadened the notion of what actually constitutes a chimera state. In this article, we critically examine how the results for different model types and coupling schemes, as well as varying implicit interpretations of terms such as coexistence, synchrony and incoherence, have influenced the common understanding of what constitutes a chimera. We cover both theoretical and experimental systems, address various chimera-derived terms that have emerged over the years and finally reflect on the question of chimera states in real-world contexts.

Review paper. 10 pages, 5 figures. Significantly expanded introduction since the first version, added a few references on solitary states and scroll-ring chimeras as well as a sentence in the concluding remarks

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Cited by in corpus (13)

• Unified treatment of synchronization patterns in generalized networks with higher-order, multilayer, and temporal interactions
• Kuramoto model for populations of quadratic integrate-and-fire neurons with chemical and electrical coupling
• Exotic synchronization in continuous time crystals outside the symmetric subspace
• Frequency chimera state induced by differing dynamical timescales
• Dissipative structures in a parametrically driven dissipative lattice: chimera, localized disorder, continuous-wave, and staggered state
• Patched patterns and emergence of chaotic interfaces in arrays of nonlocally coupled excitable systems
• Strong coupling yields abrupt synchronization transitions in coupled oscillators
• Nonequilibrium thermodynamic characterization of chimeras in a continuum chemical oscillator system
• Emergence of metastability in frustrated oscillatory networks: the key role of hierarchical modularity
• Heteroclinic cycles and chaos in a system of four identical phase oscillators with global biharmonic coupling
• Coupled metronomes on a moving platform with Coulomb friction
• Quantum fingerprints of self-organization in spin chains coupled to a Kuramoto model
• Synchronization modes in bipartite oscillator networks