Higher-order interactions promote chimera states
arXiv:2204.00037 · doi:10.1103/PhysRevE.105.L042202
Abstract
Since the discovery of chimera states, the presence of a nonzero phase lag parameter turns out to be an essential attribute for the emergence of chimeras in a nonlocally coupled identical Kuramoto phase oscillators' network with pairwise interactions. In this letter, we report the emergence of chimeras without phase lag in nonlocally coupled identical Kuramoto network owing to the introduction of non-pairwise interactions. The influence of added nonlinearity in the coupled system dynamics in the form of simplicial complexes mitigates the requisite of a nonzero phase lag parameter for the emergence of chimera states. Chimera states stimulated by the reciprocity of the pairwise and non-pairwise interaction strengths and their multistable nature are characterized with appropriate measures and are demonstrated in the parameter spaces.
arXiv comment8 pages, 8 figures; accepted for publication in Physical Review E (Letters), 2022
References in corpus (45)
- The structure and function of complex networks
- Synchronization in complex networks
- Networks beyond pairwise interactions: structure and dynamics
- Chimera States for Coupled Oscillators
- Higher-order organization of complex networks
- The Kuramoto model in complex networks
- Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators
- The physics of higher-order interactions in complex systems
- Simplicial models of social contagion
- Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators
- Amplitude Death: The emergence of stationarity in coupled nonlinear systems
- Explosive higher-order Kuramoto dynamics on simplicial complexes
- Higher-order interactions in complex networks of phase oscillators promote abrupt synchronization switching
- Abrupt Desynchronization and Extensive Multistability in Globally Coupled Oscillator Simplices
- Solvable Model of Spiral Wave Chimeras
- Coexistence of synchrony and incoherence in oscillatory media under nonlinear global coupling
- Chimera states: The Existence Criteria Revisited
- Chimera states in a multilayer network of coupled and uncoupled neurons
- Chimera States in a Ring of Nonlocally Coupled Oscillators
- Random walks on hypergraphs
- Chimera states in heterogeneous networks
- Chimera states in networks of nonlocally coupled Hindmarsh-Rose neuron models
- Phase oscillators with global sinusoidal coupling evolve by Mobius group action
- Observation and characterization of chimera states in coupled dynamical systems with nonlocal coupling
- Multiorder Laplacian for synchronization in higher-order networks
- Chimeras in networks with purely local coupling
- Chimera-like states in modular neural networks
- Conformists and contrarians in a Kuramoto model with identical natural frequencies
- Chimera states: Effects of different coupling topologies
- Simplicial complexes and complex systems
- Higher-order simplicial synchronization of coupled topological signals
- Chimera states on a flat torus
- Multistable attractors in a network of phase oscillators with three-body interaction
- Basin stability for chimera states
- Chimeralike states in a network of oscillators under attractive and repulsive global coupling
- Chimera states on the surface of a sphere
- Basins of Attraction for Chimera States
- Cascades of Multi-headed Chimera States for Coupled Phase Oscillators
- Simplicial complexes: higher-order spectral dimension and dynamics
- Chimera states in two-dimensional networks of locally coupled oscillators
- Birth and Death of Chimera: Interplay of Delay and Multiplexing
- Unified treatment of synchronization patterns in generalized networks with higher-order, multilayer, and temporal interactions
- Chimera-like behavior in a heterogeneous Kuramoto model: the interplay between the attractive and repulsive coupling
- Coexisting synchronous and asynchronous states in locally coupled array of oscillators by partial self-feedback control
- Amplitude mediated spiral chimera pattern in a nonlinear reaction-diffusion system
Cited by in corpus (11)
- Synchronization in temporal simplicial complexes
- Deeper but smaller: Higher-order interactions increase linear stability but shrink basins
- Multistability in coupled oscillator systems with higher-order interactions and community structure
- Phase chimera states on non-local hyperrings
- Collective dynamics on higher-order networks
- Identification of single- and double-well coherence-incoherence patterns by the binary distance matrix
- Higher-order evolutionary dynamics with game transitions
- Pinning control of chimera states in systems with higher-order interactions
- How do higher-order interactions shape the energy landscape?
- Network stochastic resonance under higher-order interactions
- On the efficiency of pairwise Hamiltonian control to desynchronize the higher-order Kuramoto model