Chimeralike States in an Ensemble of Globally Coupled Oscillators

2014/02/18 by Azamat Yeldesbay, Arkady Pikovsky, Michael Rosenblum · 7 citations
Biochemistry, Genetics and Molecular Biology · Computer Science · Physics and Astronomy · #Chemical and Physical Studies #Mechanical and Optical Resonators #Nonlinear Dynamics and Pattern Formation #Physics #Statistical physics #nlin.CD

paper · pdf · doi:10.1103/physrevlett.112.144103

arxiv created 2014/02/18 · openalex publication_date 2014/04/11 · arxiv updated 2015/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We demonstrate the emergence of a complex state in a homogeneous ensemble of globally coupled identical oscillators, reminiscent of chimera states in nonlocally coupled oscillator lattices. In this regime some part of the ensemble forms a regularly evolving cluster, while all other units irregularly oscillate and remain asynchronous. We argue that the chimera emerges because of effective bistability, which dynamically appears in the originally monostable system due to internal delayed feedback in individual units. Additionally, we present two examples of chimeras in bistable systems with frequency-dependent phase shift in the global coupling.

Citations

• Chimera States on a Flat Torus
• A new approach to partial synchronization in globally coupled rotators
• Solvable Model for Chimera States of Coupled Oscillators

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