Please wait a minute...
Chin. Phys. B, 2014, Vol. 23(8): 080504    DOI: 10.1088/1674-1056/23/8/080504
GENERAL Prev   Next  

Double coherence resonance of the FitzHugh–Nagumo neuron driven by harmonic velocity noise

Song Yan-Li (宋艳丽)
School of Science, Tianjin University, Tianjin 300072, China
Abstract  The effect of noise frequency on the FitzHugh-Nagumo neuron is investigated by the use of the harmonic velocity noise, which has a direct frequency parameter and no zero frequency part of the power spectrum. It is shown that the neuron has the resonance characteristic strongly responding to the noise with a certain frequency at fixed power, and there is double coherence resonance related to the frequency and the intensity. If the harmonic velocity noise lacks low frequency ingredients, there is no synchronization between the frequency of the neuron and that of the noise. Thus the low frequency part of the noise plays an important role in creating the synchronization.
Keywords:  coherence resonance      FitzHugh-Nagumo neuron      harmonic noise      frequency effect  
Received:  17 November 2013      Revised:  18 February 2014      Accepted manuscript online: 
PACS:  05.40.Ca (Noise)  
  05.45.Xt (Synchronization; coupled oscillators)  
  87.16.dj (Dynamics and fluctuations)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11175128).
Corresponding Authors:  Song Yan-Li     E-mail:  songyanli@tju.edu.cn

Cite this article: 

Song Yan-Li (宋艳丽) Double coherence resonance of the FitzHugh–Nagumo neuron driven by harmonic velocity noise 2014 Chin. Phys. B 23 080504

[1] Lindner B, García-Ojalvo J, Neiman A and Schimansky-Geier L 2004 Phys. Rep. 392 321
[2] Benzi R, Sutera A and Vulpiani A 1981 J. Phys. A: Math. Gen. 14 L453
[3] Hänggi P 2002 Chemphyschem 3 285
[4] Gammaitoni L, Hänggi P, Jung P and Marchesoni F 1998 Rev. Mod. Phys. 70 223
[5] McDonnell M D and Ward L M 2011 Nat. Rev. Neurosci. 12 415
[6] Levin J E and Miller J P 1996 Nature 380 165
[7] Mori T and Kai S 2002 Phys. Rev. Lett. 88 218101
[8] Chen B S and Li C W 2010 Neural Computation 22 1737
[9] Kreuz T, Luccioli S and Torcini A 2006 Phys. Rev. Lett. 97 238101
[10] Song Y L 2010 Acta Phys. Sin. 59 2334 (in Chinese)
[11] Liu Z H, Zhou Y R, Zhang A Y and Pang X F 2010 Acta Phys. Sin. 59 699 (in Chinese)
[12] Rappel W J and Strogztz S H 1994 Phys. Rev. E 50 3249
[13] Pikovsky A S and Kurths J 1997 Phys. Rev. Lett. 78 775
[14] Buldú J M, García-Ojalvo J, Mirasso C R, Torrent M C and Sancho J M 2001 Phys. Rev. E 64 051109
[15] Zhong S and Xin H W 2001 Chem. Phys. Lett. 333 133
[16] Yung K L, Lei Y M and Xu Y 2010 Chin. Phys. B 19 010503
[17] Liu F, Wang J F and Wang W 1999 Phys. Rev. E 59 3453
[18] Rechardson M, Brunel N and Hakim V 2003 J. Neurophysiol. 89 2538
[19] Longtin A 2000 Chaos, Solitons and Fractals 11 1835
[20] Bartussek R, Hänggi P and Kissner J G 1994 Europhys. Lett. 28 459
[21] Baltanás J P and Casado J M 1998 Physica D 122 231
[22] Song Y L 2011 Chin. Phys. Lett. 28 120502
[23] Bao J D, Song Y L, Ji Q and Zhuo Y Z 2005 Phys. Rev. E 72 011113
[24] Feng X Q and Zheng Z G 2005 Int. J. Mod. Phys. B 19 3501
[1] Dynamics and coherence resonance in a thermosensitive neuron driven by photocurrent
Ying Xu(徐莹), Minghua Liu(刘明华), Zhigang Zhu(朱志刚), Jun Ma(马军). Chin. Phys. B, 2020, 29(9): 098704.
[2] Modeling and understanding of the thermal failure induced by high power microwave in CMOS inverter
Yu-Hang Zhang(张宇航), Chang-Chun Chai(柴常春), Yang Liu(刘阳), Yin-Tang Yang(杨银堂), Chun-Lei Shi(史春蕾), Qing-Yang Fan(樊庆扬), Yu-Qian Liu(刘彧千). Chin. Phys. B, 2017, 26(5): 058502.
[3] Prompt efficiency of energy harvesting by magnetic coupling of an improved bi-stable system
Hai-Tao Li(李海涛), Wei-Yang Qin(秦卫阳). Chin. Phys. B, 2016, 25(11): 110503.
[4] Adaptive synchronization control of coupled chaotic neurons in the external electrical stimulation
Yu Hai-Tao (于海涛), Wang Jiang (王江), Deng Bin (邓斌), Wei Xi-Le (魏熙乐), Chen Ying-Yuan (陈颖源). Chin. Phys. B, 2013, 22(5): 058701.
[5] Effects of non-Gaussian noise on a calcium oscillation system
Wang Bing (王兵), Sun Ya-Qin (孙雅琴), Tang Xu-Dong (唐旭东). Chin. Phys. B, 2013, 22(1): 010501.
[6] Erratum to “Coherence resonance in globally coupled neuronal networks with different neuron numbers”
Ning Wei-Lian (宁维莲), Zhang Zheng-Zhen (张争珍), Zeng Shang-You (曾上游), Luo Xiao-Shu (罗晓曙), Hu Jin-Lin (胡锦霖), Zeng Shao-Wen (曾绍稳), Qiu Yi (邱怡), Wu Hui-Si (吴慧思). Chin. Phys. B, 2013, 22(1): 018702.
[7] Coherence resonance in globally coupled neuronal networks with different neuron numbers
Ning Wei-Lian(宁维莲), Zhang Zheng-Zhen(张争珍), Zeng Shang-You(曾上游), Luo Xiao-Shu(罗晓曙), Hu Jin-Lin(胡锦霖), Zeng Shao-Wen(曾绍稳), Qiu Yi(邱怡), and Wu Hui-Si(吴慧思) . Chin. Phys. B, 2012, 21(2): 028702.
[8] Spatial coherence resonance induced by coloured noise and parameter diversity in a neuronal network
Sun Xiao-Juan(孙晓娟) and Lu Qi-Shao(陆启韶). Chin. Phys. B, 2010, 19(4): 040504.
[9] Coherence resonance and synchronication of Hindmarsh-Rose neurons with noise
Shi Xia (石霞), Lu Qi-Shao (陆启韶). Chin. Phys. B, 2005, 14(6): 1088-1094.
No Suggested Reading articles found!