2021/03/16 by Olesia Dogonasheva, Dmitry Kasatkin, D. V. Кasatkin +2
Computer Science · Mathematics · Neuroscience · Physics and Astronomy · #Asynchronous communication #Biology #Chimera (genetics) #Coherence (philosophical gambling strategy) #Combinatorics #Computer science #Mathematical analysis #Mathematics #Neural dynamics and brain function #Nonlinear Dynamics and Pattern Formation #Physics #Relaxation oscillator #Statistical physics #Synchronization (alternating current) #Telecommunications #Topology (electrical circuits) #Traveling wave #nlin.AO #stochastic dynamics and bifurcation
paper · pdf · doi:10.1016/j.chaos.2021.111541
arxiv created 2021/03/16 · openalex publication_date 2021/11/06 · arxiv updated 2021/11/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose a robust universal approach to identify multiple dynamical states, including stationary and travelling chimera states based on an adaptive coherence measure. Our approach allows automatic disambiguation of synchronized clusters, travelling waves, chimera states, and asynchronous regimes. In addition, our method can determine the number of clusters in the case of cluster synchronization. We further couple our approach with a new speed calculation method for travelling chimeras. We validate our approach by an example of a ring network of type II Morris-Lecar neurons with asymmetrical nonlocal inhibitory connections where we identify a rich repertoire of coherent and wave states. We propose that the method is robust for the networks of phase oscillators and extends to a general class of relaxation oscillator networks.