2025/02/05 by Petar Mircheski, Hiroya Nakao, Mircheski, Petar +1
Computer Science · Engineering · Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #FOS: Physical sciences #Mechanical and Optical Resonators #Nonlinear Dynamics and Pattern Formation #Semiconductor Lasers and Optical Devices
paper · pdf · doi:10.48550/arxiv.2502.02881
openalex publication_date 2025/02/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
Chimera states in systems of nonlocally coupled oscillators, i.e., self-organized coexistence of coherent and incoherent oscillator populations, have attracted much attention. In this study, we consider the effect of frequency heterogeneities on the chimera state and reveal that it induces spatial locking of the chimera state, i.e., the coherent and incoherent domains align with lower and higher frequency regions, respectively, in a self-adaptive manner. Using an extended self-consistency approach, we show that such spatially locked chimera states can be reproduced as steady solutions of the system in the continuum limit. Furthermore, we develop a variational argument to explain the mechanism leading to spatial locking. Our analysis reveals how heterogeneity can affect the collective dynamics of the chimera states and offers insights into their control and applications.