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CAPRRESI: Chimera Assembly by Plasmid Recovery and Restriction Enzyme Site Insertion
07:37

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Published on: June 25, 2017

Chimera states on m-directed hypergraphs.

Rommel Tchinda Djeudjo1, Timoteo Carletti1, Hiroya Nakao2,3

  • 1University of Namur, Namur Institute for Complex Systems, Department of Mathematics & naXys, B5000 Namur, Belgium.

Physical Review. E
|June 19, 2026
PubMed
Summary
This summary is machine-generated.

Chimera states, synchronization patterns with coherent and incoherent regions, emerge more readily in higher-order systems. This study reveals new chimera types in directed hypergraphs due to nonreciprocal interactions.

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Area of Science:

  • Complex systems
  • Nonlinear dynamics
  • Network science

Background:

  • Chimera states are synchronization patterns with coexisting coherent and incoherent oscillator regions.
  • Traditional studies often use symmetric, pairwise network couplings.
  • Real-world systems frequently involve nonreciprocal, many-body interactions.

Purpose of the Study:

  • Investigate chimera state emergence in nonreciprocal higher-order structures (m-directed hypergraphs).
  • Compare chimera states in these structures with their corresponding network counterparts.
  • Analyze the impact of directionality and higher-order interactions on chimera formation.

Main Methods:

  • Numerical simulations on m-directed hypergraphs and their corresponding networks.
  • Comparison of chimera state occurrence across different coupling types (pairwise vs. higher-order, reciprocal vs. nonreciprocal).
  • Validation of phase chimera properties using phase reduction theory.

Main Results:

  • New types of chimera states emerge in m-directed hypergraphs due to directionality.
  • Chimera states are observed over a broader parameter range in higher-order structures compared to networks.
  • Directionality and higher-order interactions significantly influence chimera state dynamics.

Conclusions:

  • Nonreciprocal higher-order interactions, specifically on m-directed hypergraphs, facilitate the emergence of chimera states.
  • The findings highlight the importance of considering network topology and interaction nature (pairwise/higher-order, reciprocal/nonreciprocal) in synchronization studies.
  • Phase reduction theory confirms the nature of observed phase chimeras.