Chimera states in nonlocally coupled phase oscillators with biharmonic interaction

TL;DR

This paper explores novel chimera states in nonlocally coupled phase oscillators with biharmonic interaction, revealing unique phase differences and the influence of coupling ranges, thus opening new avenues in chimera dynamics research.

Contribution

It introduces and analyzes new types of chimera states arising from biharmonic interactions in nonlocal oscillator networks, expanding understanding beyond traditional sinusoidal coupling models.

Findings

Discovery of chimera states with phase differences around pi/2

Oscillators in the same coherent cluster can split into two groups

Different effects of first and second harmonic coupling ranges

Abstract

Chimera states, which consist of coexisting domains of coherent and incoherent parts, have been observed in a variety of systems. Most of previous works on chimera states have taken into account specific form of interaction between oscillators, for example sinusoidal coupling or diffusive coupling. Here, we investigate chimera dynamics in nonlocally coupled phase oscillators with biharmonic interaction. We find novel chimera states with features such as that oscillators in the same coherent cluster may split into two groups with a phase difference between them at around pi/2 and that oscillators in adjacent coherent clusters may have a phase difference close to pi/2. The different impacts of the coupling ranges in the first and the second harmonic interactions on chimera dynamics are investigated based on the synchronous dynamics in globally coupled phase oscillators. Our study suggests a new direction in the field of chimera dynamics.