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Phase chimera states on nonlocal hyperrings.

Riccardo Muolo1,2,3, Thierry Njougouo3,4,5, Lucia Valentina Gambuzza6

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Chimera states, where synchronous and incoherent dynamics coexist, are observed in systems with many-body interactions. These complex states are more robust in higher-order d-hyperring structures than in traditional pairwise networks.

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Area of Science:

  • Complex Systems
  • Nonlinear Dynamics
  • Network Science

Background:

  • Chimera states are dynamical phenomena characterized by coexisting synchronous and incoherent regions.
  • Research has primarily focused on pairwise coupled identical oscillators.
  • Complex systems increasingly evidence many-body interactions beyond pairwise networks.

Purpose of the Study:

  • Investigate the emergence of phase chimera states in systems with many-body interactions.
  • Explore chimera states within a novel nonlocal d-hyperring topology.
  • Compare the robustness of chimera states in higher-order versus pairwise interactions.

Main Methods:

  • Utilized Stuart-Landau oscillators as the node dynamics.
  • Modeled systems with nonlocal d-hyperring structures, representing higher-order interactions.
  • Analyzed phase chimera state emergence across various structures and coupling functions.

Main Results:

  • Phase chimera states were observed to emerge in nonlocal d-hyperring structures.
  • The behavior was shown to be dependent on the order of interactions (d+1).
  • Flattening higher-order interactions to pairwise ones resulted in weaker and more elusive chimera behavior.

Conclusions:

  • Higher-order interactions, specifically in nonlocal d-hyperrings, support robust phase chimera states.
  • Many-body interactions offer a more effective framework for studying chimera states than pairwise interactions.
  • This work expands the understanding of chimera states in complex systems with higher-order coupling.