|
|
|
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.
|
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
|
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|
