Phase chimera states on non-local hyperrings

Riccardo Muolo, Thierry-Sainclair Njougouo, Lucia Valentina Gambuzza, Timoteo Carletti, Mattia Frasca

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Abstract

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.

Original languageEnglish
Article numberL022201
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume109
Issue number2
Early online date8 Jan 2024
DOIs
Publication statusPublished - 12 Feb 2024

Keywords

  • chimera states
  • Collective behavior in networks
  • dynamics of networks
  • pattern formation
  • synchronisation
  • synchronisation transition
  • hypergraphs
  • Higher-order networks

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