Complete and phase synchronization in a heterogeneous small-world neuronal network  

作　　者：韩芳 陆启韶 Wiercigroch Marian 季全宝 

机构地区：[1]School of Science, Beijing University of Aeronautics and Astronautics [2]School of Engineering, University of Aberdeen

出　　处：《Chinese Physics B》2009年第2期482-488,共7页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant No 10872014)

摘　　要：Synchronous firing of neurons is thought to be important for information communication in neuronal networks. This paper investigates the complete and phase synchronization in a heterogeneous small-world chaotic Hindmarsh Rose neuronal network. The effects of various network parameters on synchronization behaviour are discussed with some biological explanations. Complete synchronization of small-world neuronal networks is studied theoretically by the master stability function method. It is shown that the coupling strength necessary for complete or phase synchronization decreases with the neuron number, the node degree and the connection density are increased. The effect of heterogeneity of neuronal networks is also considered and it is found that the network heterogeneity has an adverse effect on synchrony.Synchronous firing of neurons is thought to be important for information communication in neuronal networks. This paper investigates the complete and phase synchronization in a heterogeneous small-world chaotic Hindmarsh Rose neuronal network. The effects of various network parameters on synchronization behaviour are discussed with some biological explanations. Complete synchronization of small-world neuronal networks is studied theoretically by the master stability function method. It is shown that the coupling strength necessary for complete or phase synchronization decreases with the neuron number, the node degree and the connection density are increased. The effect of heterogeneity of neuronal networks is also considered and it is found that the network heterogeneity has an adverse effect on synchrony.

关 键 词：small-world neuronal network complete synchronization phase synchronization het erogeneity 

分 类 号：O157.5[理学—数学] O231[理学—基础数学]