title: Transition to synchronization in a Kuramoto model with the first- and second-order interaction terms.
abstract: We investigate a Kuramoto model incorporated with the first-order and the second-order interaction terms. We show that the model displays the coexistence of multiattractors and different attractors may be characterized by the phase distributions of oscillators. By investigating the transition diagrams in both forward continuation and backward continuation, we find that the synchronous state with unimodal phase distribution is the most stable one while the state in cluster synchrony with evenly distributed bimodal phase distribution is the least stable one. We also present the phase diagram of the model in the parameter space.
authors.affiliation: School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, People's Republic of China.
authors.forename: Keren
authors.initials: K
authors.lastname: Li
authors.affiliation: School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, People's Republic of China.
authors.forename: Shen
authors.initials: S
authors.lastname: Ma
authors.affiliation: School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, People's Republic of China.
authors.forename: Haihong
authors.initials: H
authors.lastname: Li
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