吉林大学学报(工学版) ›› 2017, Vol. 47 ›› Issue (5): 1554-1560.doi: 10.13229/j.cnki.jdxbgxb201705030

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Chemical synapse coupling synchronization of Hindmarsh-Rose neurons under Gauss white noise

WU Kai-jun1, WANG Chun-li1, SHAN Ya-zhou1, DU San-shan2, LU Huai-wei2   

  1. 1.School of Electronic and Information Engineering,Lanzhou Jiaotong Unviersity,Lanzhou 730070,China;
    2.School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China
  • Received:2016-08-14 Online:2017-09-20 Published:2017-09-20

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Abstract: The chemical synapse coupling synchronization of Hindmarsh-Rose neurons and the effect of Gauss white noise on the synchronization of coupled neurons were studied. It was found that the coupling strength can affect the discharge activity of the coupled neuron system and the synchronization between the coupled neurons. By adjusting the coupling strength between the coupled neuron systems, the two neuron systems can be changed into the synchronous state from the non-synchronous state. At the same time, it was also found that the appropriate noise can induce the synchronization behavior of the non-synchronous Hindmarsh-Rose neurons, which can cause the synchronization of the chemical synapses.

Key words: computational mathematics, chemical synapse coupling, Hindmarsh-Rose neuron, synchronization, Gauss white noise

CLC Number: 

  • O442
[1] Wu Kai-jun, Luo Tian-qi, Lu Huai-wei, et al. Bifurcation study of neuron firing activity of the modified Hindmarsh-Rose model[J]. Neural Computing and Applications, 2016, 27(3):739-747.
[2] Wang C, Ge S S. Adaptive synchronization of uncertain chaotic systems via backstepping design[J]. Chaos Solitons & Fractals, 2001, 12(7):1199-1206.
[3] Lu J, Wu X, Han X, et al. Adaptive feedback synchronization of a unified chaotic system[J]. Physics Letters A, 2004, 329(4/5):327-333.
[4] Sagués F, Sancho J M, García-Ojalvo J. Spatiotemporal order out of noise[J]. Review of Modern Physics, 2007, 79(3):829-882.
[5] Li C, Liao X, Zhang R. Impulsive synchronization of nonlinear coupled chaotic systems[J]. Physics Letters A, 2004, 328(1):47-50.
[6] Mada S W S, Mamat M, Salleh Z, et al. Bidirectional chaotic synchronization of Hindmarsh-Rose neuron model[J]. Applied Mathematical Sciences,2012,5(54):2685-2695.
[7] 黄报星. Lorenz系统的混沌同步与保密通信[J]. 吉林大学学报:工学版, 2003, 33(3):60-63.
Huang Bao-xing. Chaotic synchronization of Lorenz systems and secure communication[J]. Journal of Jilin University (Engineering and Technology Edition), 2003,33(3):60-63.
[8] Postnov D E, Sosnovtseva O V, Han S K, et al. Stochastic synchronization of coupled coherence resonance oscillators[J]. International Journal of Bifurcation & Chaos, 2000, 10(11):2541-2550.
[9] Casado J M. Synchronization of two Hodgkin-Huxley neurons due to internal noise[J]. Physics Letters A, 2003, 310(5):400-406.
[10] Pablo B, Jordi G O. Role of chemical synapses in coupled neurons with noise[J]. Physical Review E:Statistical Nonlinear & Soft Matter Physics, 2005,72(1):254-271.
[11] Wu Y, Xu J, He D, et al. Generalized synchronization induced by noise and parameter mismatching in Hindmarsh-Rose neurons[J]. Chaos Solitons & Fractals, 2005, 23(5):1605-1611.
[12] 李娜, 杨晓丽. 空间关联白噪声影响下小世界神经元网络系统的同步动力学[J]. 物理学报, 2015(22):82-90.
Li Na, Yang Xiao-li. Synchronous dynamics of small-world neuronal network system with spatially correlated white noise[J]. Acta Physica Sinica, 2015(22): 82-90.
[13] 曹淑红, 段利霞, 唐旭晖,等. 具有时滞的耦合Hindmarsh-Rose神经元系统的放电模式[J]. 动力学与控制学报, 2012,10(1):88-91.
Cao Shu-hong, Duan Li-xia,Tang Xu-hui, et al. Firing patterns in coupled hindmarsh-rose neuron system with time-delay[J]. Journal of Dynamics and Control, 2012,10(1):88-91.
[14] Tsaneva-Atanasova K, Osinga H M, Rieβ T,et al. Full system bifurcation analysis of endocrine bursting models[J].Journal of Theoretical Biology,2010,264(4):1133-1146.
[15] Wu D, Luo X, Zhu S. Stochastic system with coupling between non-Gaussian and Gaussian noise terms[J]. Physica A:Statistical Mechanics & Its Applications, 2007, 373(36):203-214.
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