2019/08/26 by Carlo R. Laing, Laing, Carlo R. · 1 citation
Biochemistry, Genetics and Molecular Biology · Computer Science · #Cellular Automata and Applications #Chaotic Dynamics (nlin.CD) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Gene Regulatory Network Analysis #Nonlinear Dynamics and Pattern Formation
paper · pdf · doi:10.48550/arxiv.1908.09938
openalex publication_date 2019/08/26 · openalex created_date 2022/07/28 · openalex updated_date 2026/07/28
We consider networks formed from two populations of identical oscillators,\nwith uniform strength all-to-all coupling within populations, and also between\npopulations, with a different strength. Such systems are known to support\nchimera states in which oscillators within one population are perfectly\nsynchronised while in the other the oscillators are incoherent, and have a\ndifferent mean frequency from those in the synchronous population. Assuming\nthat the oscillators in the incoherent population always lie on a closed smooth\ncurve \C, we derive and analyse the dynamics of the shape of\n\C and the probability density on \C, for four different\ntypes of oscillators. We put some previously derived results on a rigorous\nfooting, and analyse two new systems.\n