title: Synchronization transition in networked chaotic oscillators: the viewpoint from partial synchronization.
abstract: Synchronization transition in networks of nonlocally coupled chaotic oscillators is investigated. It is found that in reaching the state of global synchronization the networks can stay in various states of partial synchronization. The stability of the partial synchronization states is analyzed by the method of eigenvalue analysis, in which the important roles of the network topological symmetry on synchronization transition are identified. Moreover, for networks possessing multiple topological symmetries, it is found that the synchronization transition can be divided into different stages, with each stage characterized by a unique synchronous pattern of the oscillators. Synchronization transitions in networks of nonsymmetric topology and nonidentical oscillators are also investigated, where the partial synchronization states, although unstable, are found to be still playing important roles in the transitions.
authors.affiliation: Department of Automation, Zhejiang University of Technology, Hangzhou 310023, China and School of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062, China and Department of Physics, Zhejiang University, Hangzhou 310027, China.
authors.forename: Chenbo
authors.initials: C
authors.lastname: Fu
authors.affiliation: School of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062, China and Department of Physics, Zhejiang University, Hangzhou 310027, China.
authors.forename: Weijie
authors.initials: W
authors.lastname: Lin
authors.affiliation: Institute of Computational Physics and Complex Systems, Lanzhou University, Lanzhou, Gansu 730000, China.
authors.forename: Liang
authors.initials: L
authors.lastname: Huang
authors.affiliation: School of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062, China and Department of Physics, Zhejiang University, Hangzhou 310027, China.
authors.forename: Xingang
authors.initials: X
authors.lastname: Wang
mesh_terms: D000200:Action Potentials / Q000502:physiology; D000818:Animals; D001683:Biological Clocks / Q000502:physiology*; D003344:Cortical Synchronization / Q000502:physiology*; D025461:Feedback, Physiological / Q000502:physiology*; D006801:Humans; D009415:Nerve Net / Q000502:physiology*; D009474:Neurons / Q000502:physiology*; D017711:Nonlinear Dynamics