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In- and Anti-transition of Firing Patterns Induced by Random Long-range Connections in Coupled Hindmarsh-Rose Neurons System
Peng Wang,Ji-qian Zhang*,Hai-lin Ren
Author NameAffiliationE-mail
Peng Wang College of Physics and Electronic Information, Anhui Normal University, Wuhu 241000, China  
Ji-qian Zhang* College of Physics and Electronic Information, Anhui Normal University, Wuhu 241000, China zhangcdc@mail.ahnu.edu.cn 
Hai-lin Ren College of Physics and Electronic Information, Anhui Normal University, Wuhu 241000, China  
Abstract:
The effects of random long-range connections (shortcuts) on the transitions of neural firing patterns in coupled Hindmarsh-Rose neurons are investigated, where each neuron is subjected to an external current. It is found that, on one hand, the system can achieve the transition of neural firing patterns from the fewer-period state to the multi-period one, when the number of the added shortcuts in the neural network is greater than a threshold value, indicating the occurrence of in-transition of neural firing patterns. On the other hand, for a stronger coupling strength, we can also find the similar but reverse results by adding some proper random connections. In addition, the influences of system size and coupling strength on such transition behavior, as well as the internality between the transition degree of firing patterns and its critical characteristics for different external stimulation current, are also discussed.
Key words:  In- and anti-transition, Random long-range connection, Firing pattern, System size
FundProject:
In- and Anti-transition of Firing Patterns Induced by Random Long-range Connections in Coupled Hindmarsh-Rose Neurons System
王鹏,张季谦*,任海林
摘要:
研究了在外界刺激电流的作用下,随机的长程关联对耦合的Hindmarsh-Rose神经元放电模式转变的影响.结果表明,当耦合强度较弱时,在神经元网络中加入一定数量的随机的长程关联,神经元的放电模式会从较少的周期态转变到较多的周期态;当耦合强度较强时,在神经元网络中加入一定数量的随机长程关联,神经元的放电模式会产生相反的转变,即从较多的周期态转变到较少的周期态.同时还简单讨论了神经系统的尺度大小和神经元之间的耦合强度,以及不同外界刺激条件下放电模式的强度与临界特性之间的关系.
关键词:  正-反向转变,随机长程关联,放电模式,系统尺度
DOI:10.1088/1674-0068/23/01/23-29
分类号: