Journal
NONLINEARITY
Volume 31, Issue 5, Pages R121-R164Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1361-6544/aaaa07
Keywords
coupled oscillators; chimera states; coherence-incoherence patterns; continuum limit equation; finite size effects; control theory
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Chimera states are self-organized spatiotemporal patterns of coexisting coherence and incoherence. We give an overview of the main mathematical methods used in studies of chimera states, focusing on chimera states in spatially extended coupled oscillator systems. We discuss the continuum limit approach to these states, Ott-Antonsen manifold reduction, finite size chimera states, control of chimera states and the influence of system design on the type of chimera state that is observed.
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