2024/02/12 by Riccardo Muolo, Thierry Njougouo, Lucia Valentina Gambuzza +2 · 1 voice · 2 citations
Computer Science · Engineering · Biochemistry, Genetics and Molecular Biology · #Nonlinear Dynamics and Pattern Formation #Slime Mold and Myxomycetes Research #Photosynthetic Processes and Mechanisms
paper · doi:10.1103/physreve.109.l022201
openalex publication_date 2024/02/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
Chimera states are dynamical states where regions of synchronous trajectories coexist with incoherent ones. A significant amount of research has been devoted to studying chimera states in systems of identical oscillators, nonlocally coupled through pairwise interactions. Nevertheless, there is increasing evidence, also supported by available data, that complex systems are composed of multiple units experiencing many-body interactions that can be modeled by using higher-order structures beyond the paradigm of classic pairwise networks. In this work we investigate whether phase chimera states appear in this framework, by focusing on a topology solely involving many-body, nonlocal, and nonregular interactions, hereby named nonlocal d-hyperring, (d+1) being the order of the interactions. We present the theory by using the paradigmatic Stuart-Landau oscillators as node dynamics, and we show that phase chimera states emerge in a variety of structures and with different coupling functions. For comparison, we show that, when higher-order interactions are "flattened" to pairwise ones, the chimera behavior is weaker and more elusive.