title: Dynamics of the Kuramoto model in the presence of correlation between distributions of frequencies and coupling strengths.
abstract: As a paradigmatic model, the Kuramoto model has provided a platform for investigating synchronization among nonidentical oscillators. In this work, we consider the Kuramoto model consisting of conformists with positive coupling strength and contrarians with negative coupling strength. We introduce the correlation between the distributions of natural frequencies and the coupling strengths of oscillators. Three different types of correlations are considered. We find rich dynamics result from the correlation such as different types of traveling wave states and, most interestingly, another type of nonstationary state: an oscillating π state.
authors.affiliation: School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, People's Republic of China and School of Physics and Electrical Engineering, Anyang Normal University, Anyang 455000, People's Republic of China.
authors.forename: Di
authors.initials: D
authors.lastname: Yuan
authors.affiliation: Department of Physics, Beijing Normal University, Beijing 100875, People's Republic of China.
authors.forename: Mei
authors.initials: M
authors.lastname: Zhang
authors.affiliation: School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, People's Republic of China.
authors.forename: Junzhong
authors.initials: J
authors.lastname: Yang