Dynamics and stability of chimera states in two coupled populations of oscillators.
basic_science · Level V
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- Record sourced from PubMed, PMID 31770875.
- Also identified by DOI 10.1103/PhysRevE.100.042211.
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Abstract
We consider networks formed from two populations of identical oscillators, with uniform strength all-to-all coupling within populations and also between populations with a different strength. Such systems are known to support chimera states in which oscillators within one population are perfectly synchronized while in the other the oscillators are incoherent and have a different mean frequency from those in the synchronous population. Assuming that the oscillators in the incoherent population always lie on a closed smooth curve C, we derive and analyze the dynamics of the shape of C and the probability density on C for four different types of oscillators. We put some previously derived results on a more rigorous footing and analyze two new systems.