2019/07/14 by Richard Janis Goldschmidt, Goldschmidt, Richard Janis, Arkady Pikovsky +3 · 1 citation
Computer Science · Engineering · Materials Science · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Innovative Microfluidic and Catalytic Techniques Innovation #Nonlinear Dynamics and Pattern Formation #Solidification and crystal growth phenomena
paper · pdf · doi:10.48550/arxiv.1907.06201
openalex publication_date 2019/07/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In globally coupled ensembles of identical oscillators so-called chimera states can be observed. The chimera state is a symmetry-broken regime, where a subset of oscillators forms a cluster, a synchronized population, while the rest of the system remains a collection of non-synchronized, scattered units. We describe here a blinking chimera regime in an ensemble of seven globally coupled rotators (Kuramoto oscillators with inertia). It is characterized by a death-birth process, where a long-term stable cluster of four oscillators suddenly dissolves and is very quickly reborn with a new, reshuffled configuration. We identify three different kinds of rare blinking events and give a quantitative characterization by applying stability analysis to the long-lived chaotic state and to the short-lived regular regimes which arise when the cluster dissolves.