Effects of Janus Oscillators in the Kuramoto Model with Positive and Negative Couplings
arXiv:1907.03296 · doi:10.3938/jkps.75.443
Abstract
We study the effects of Janus oscillators in a system of phase oscillators in which the coupling constants take both positive and negative values. Janus oscillators may also form a cluster when the other ones are ordered and we calculate numerically the traveling speed of three clusters emerging in the system and average separations between them as well as the order parameters for three groups of oscillators, as the coupling constants and the fractions of positive and Janus oscillators are varied. An expression explaining the dependence of the traveling speed on these parameters is obtained and observed to fit well the numerical data. With the help of this, we describe how Janus oscillators affect the traveling of the clusters in the system.
arXiv comment5 pages, 5 figures
References in corpus (7)
- Time Delay in the Kuramoto Model of Coupled Oscillators
- Contrarian Deterministic Effect: the "Hung Elections Scenario"
- Plasticity and learning in a network of coupled phase oscillators
- Conformists and contrarians in a Kuramoto model with identical natural frequencies
- Spontaneous emergence of contrarian-like behaviour in an opinion spreading model
- On the dynamics of traveling phase-oscillators with positive and negative couplings
- Traveling Speed of Clusters in the Kuramoto-Sakaguchi Model