Synchronization transition in networked chaotic oscillators: the viewpoint from partial synchronization

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 th...

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Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2014-05, Vol.89 (5), p.052908-052908, Article 052908
Main Authors: Fu, Chenbo, Lin, Weijie, Huang, Liang, Wang, Xingang
Format: Article
Language:English
Subjects:
Action Potentials - physiology
Animals
Biological Clocks - physiology
Cortical Synchronization - physiology
Feedback, Physiological - physiology
Humans
Nerve Net - physiology
Neurons - physiology
Nonlinear Dynamics
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Summary: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.
ISSN:1539-3755
1550-2376
DOI:10.1103/PhysRevE.89.052908