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Chimera states: coexistence of coherence and incoherence in networks of coupled oscillators. (English) Zbl 1392.34036
A chimera state is a spatio-temporal pattern in a network of identical coupled oscillators in which synchronous and asynchronous oscillation coexist. This paper gives a general overview of the chimera states studies published by the end of 2014. This includes various examples of chimera states for coupled phase and limit cycle oscillators as well as for coupled discrete time maps. Other sections of the review give references to experimental realizations of chimera states and their possible applications. The authors also formulate some open questions in the field.
Notice that a large number of papers on chimera states appeared already after 2014, therefore the interested reader can also consult two other reviews: [the reviewer, ibid. 31, No. 5, R121–R164 (2018)] and [E. Schöll, Eur. Phys. J. Spec. Top. 225, 891–919 (2016)].

MSC:
34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations
35B36 Pattern formations in context of PDEs
34C23 Bifurcation theory for ordinary differential equations
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