Effect of Topology Structures on Synchronization Transition in Coupled Neuron Cells System

In this paper, by the help of evolutionary algorithm and using Hindmarsh-Rose (HR) neuron model, we investigate the effect of topology structures on synchronization transition between different states in coupled neuron cells system. First, we build different coupling structure with N cells, and foun...

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Bibliographic Details
Published in:Communications in theoretical physics 2013-09, Vol.60 (3), p.380-386
Main Authors: Liang, Li-Si, Zhang, Ji-Qian, Xu, Gui-Xia, Liu, Le-Zhu, Huang, Shou-Fang
Format: Article
Language:English
Subjects:
Construction
Contact
Joining
Neurons
Optimization
Synchronism
Synchronization
Topology
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Summary:In this paper, by the help of evolutionary algorithm and using Hindmarsh-Rose (HR) neuron model, we investigate the effect of topology structures on synchronization transition between different states in coupled neuron cells system. First, we build different coupling structure with N cells, and found the effect of synchronized transition contact not only closely with the topology of the system, but also with whether there exist the ring structures in the system. In particular, both the size and the number of rings have greater effects on such transition behavior. Secondly, we introduce synchronization error to qualitative analyze the effect of the topology structure. Furthermore, by fitting the simulation results, we find that with the increment of the neurons number, there always exist the optimization structures which have the minimum number of connecting edges in the coupling systems. Above results show that the topology structures have a very crucial role on synchronization transition in coupled neuron system. Biological system may gradually acquire such efficient topology structures through the long-term evolution, thus the systems' information process may be optimized by this scheme.
ISSN:0253-6102
1572-9494
DOI:10.1088/0253-6102/60/3/20