Higher-order interactions promote chimera states

TL;DR

This paper demonstrates that non-pairwise interactions in a Kuramoto network can induce chimera states without the need for a nonzero phase lag, highlighting the role of higher-order interactions.

Contribution

It introduces non-pairwise interactions as a mechanism for chimera emergence, removing the necessity of phase lag in identical Kuramoto networks.

Findings

Chimera states can occur without phase lag due to non-pairwise interactions.

Higher-order interactions lead to multistability in chimera states.

Reciprocity of interaction strengths influences chimera formation.

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.