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

doi:10.1088/1674-1056/23/8/080504

›› 2014, Vol. 23 ›› Issue (8): 80504-080504.doi: 10.1088/1674-1056/23/8/080504

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

宋艳丽

School of Science, Tianjin University, Tianjin 300072, China

收稿日期:2013-11-17 修回日期:2014-02-18 出版日期:2014-08-15 发布日期:2014-08-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11175128).

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

Received:2013-11-17 Revised:2014-02-18 Online:2014-08-15 Published:2014-08-15
Contact: Song Yan-Li E-mail:songyanli@tju.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11175128).

摘要/Abstract

摘要： 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.

关键词: coherence resonance, FitzHugh-Nagumo neuron, harmonic noise, frequency effect

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.

Key words: coherence resonance, FitzHugh-Nagumo neuron, harmonic noise, frequency effect

中图分类号: (Noise)

05.40.Ca

05.45.Xt (Synchronization; coupled oscillators) 87.16.dj (Dynamics and fluctuations)

宋艳丽. Double coherence resonance of the FitzHugh–Nagumo neuron driven by harmonic velocity noise[J]. , 2014, 23(8): 80504-080504.

Song Yan-Li (宋艳丽). Double coherence resonance of the FitzHugh–Nagumo neuron driven by harmonic velocity noise[J]. Chin. Phys. B, 2014, 23(8): 80504-080504.

参考文献 24

[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

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

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

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