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.
8 pages, 8 figures; accepted for publication in Physical Review E (Letters), 2022
References in corpus (14)
- Synchronization in complex networks
- Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators
- The physics of higher-order interactions in complex systems
- Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators
- Abrupt Desynchronization and Extensive Multistability in Globally Coupled Oscillator Simplices
- Chimera states in a multilayer network of coupled and uncoupled neurons
- Random walks on hypergraphs
- Chimera states in heterogeneous networks
- Observation and characterization of chimera states in coupled dynamical systems with nonlocal coupling
- Chimera states: Effects of different coupling topologies
- Chimera states on the surface of a sphere
- 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