Spatial coherence resonance induced by coloured noise and parameter diversity in a neuronal network

doi:10.1088/1674-1056/19/4/040504

中国物理B ›› 2010, Vol. 19 ›› Issue (4): 40504-040504.doi: 10.1088/1674-1056/19/4/040504

Spatial coherence resonance induced by coloured noise and parameter diversity in a neuronal network

孙晓娟, 陆启韶

Department of Dynamics and Control, Beihang University, Beijing {\rm 100191, China

收稿日期:2009-09-08 修回日期:2009-10-06 出版日期:2010-04-15 发布日期:2010-04-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No.~10872014).

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)^†

Department of Dynamics and Control, Beihang University, Beijing 100191, China

Received:2009-09-08 Revised:2009-10-06 Online:2010-04-15 Published:2010-04-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No.~10872014).

摘要/Abstract

摘要： Spatial coherence resonance in a two-dimensional neuronal network induced by additive Gaussian coloured noise and parameter diversity is studied. We focus on the ability of additive Gaussian coloured noise and parameter diversity to extract a particular spatial frequency (wave number) of excitatory waves in the excitable medium of this network. We show that there exists an intermediate noise level of the coloured noise and a particular value of diversity, where a characteristic spatial frequency of the system comes forth. Hereby, it is verified that spatial coherence resonance occurs in the studied model. Furthermore, we show that the optimal noise intensity for spatial coherence resonance decays exponentially with respect to the noise correlation time. Some explanations of the observed nonlinear phenomena are also presented.

Abstract: Spatial coherence resonance in a two-dimensional neuronal network induced by additive Gaussian coloured noise and parameter diversity is studied. We focus on the ability of additive Gaussian coloured noise and parameter diversity to extract a particular spatial frequency (wave number) of excitatory waves in the excitable medium of this network. We show that there exists an intermediate noise level of the coloured noise and a particular value of diversity, where a characteristic spatial frequency of the system comes forth. Hereby, it is verified that spatial coherence resonance occurs in the studied model. Furthermore, we show that the optimal noise intensity for spatial coherence resonance decays exponentially with respect to the noise correlation time. Some explanations of the observed nonlinear phenomena are also presented.

Key words: neuronal network, noise, diversity, spatial coherence resonance

中图分类号: (Noise)

05.40.Ca

05.45.-a (Nonlinear dynamics and chaos) 05.60.-k (Transport processes)

孙晓娟, 陆启韶. Spatial coherence resonance induced by coloured noise and parameter diversity in a neuronal network[J]. 中国物理B, 2010, 19(4): 40504-040504.

Sun Xiao-Juan(孙晓娟) and Lu Qi-Shao(陆启韶). Spatial coherence resonance induced by coloured noise and parameter diversity in a neuronal network[J]. Chin. Phys. B, 2010, 19(4): 40504-040504.

参考文献 29

[1]	Gammaitoni L, H?nggi P, Jung P and Marchesoni F 1998 Rev. Mod. Phys. 70 223
[2]	Lindner B, García-Ojalvo J, Neiman A and Schimansky-Geier L 2004 Phys. Rep. 392 321
[3]	Neiman A, Silchenko A, Anishchenko V and Schimansky-Geier L 1998 Phys. Rev. E 58 7118
[4]	Wu S G, Ren W, He K F and Huang Z Q 2001 Phys. Lett. A 279 347
[5]	Nicolis G, Nicolis C and McKernan D 1993 J. Stat. Phys.] 70 125
[6]	Hu H Y and Jin Y F 2009 Acta Phys. Sin. 58 2895 (in Chinese)
[7]	Kwon O and Moon H T 2002 Phys. Lett. A 298 319
[8]	Zhou C S, Kurths J and Hu B B 2003 Phys. Rev. E 67 030101(R)
[9]	Perc M 2008 Phys. Rev. E 78 036105
[10]	Xu W, Zhao Y and Zou S C 2009 Acta Phys. Sin.] 58 1396 (in Chinese)
[11]	Bie M J, Zhong W R, Chen D H, Li L and Shao Y Z 2009 Acta Phys. Sin.] 58 97 (in Chinese)
[12]	Peter J and Gottfried M K 1995 Phys. Rev. Lett. 74] 2130
[13]	Zhou C S and Kurths J 2002 Phys. Rev. E 65] 040101(R)
[14]	Busch H and Kaiser F 2003 Phys. Rev. E 67 041105
[15]	Sun X J, Lu Q S and Kurths J 2008 Physica A 387] 6679
[16]	García-Ojalvo J and Schimansky-Geier L 1999 Europhys. Lett. 47 298
[17]	Sun X J, Lu Q S, Kurths J and Wang Q Y 2009 Int. J. Bifurcation and Chaos 19 737
[18]	Carrillo O, Santos M A, Garcia-Ojalvo J and Sancho J M 2004 Europhys. Lett. 65 452
[19]	Perc M 2007 Chaos, Solitons and Fractals 31 64
[20]	Gosak M, Marhl M and Perc M 2007 Biophys. Chem.] 128 210
[21]	Sun X J, Perc M, Lu Q S and Kurths J 2008 Chaos] 18 023102
[22]	Wang Q Y, Perc M, Duan Z S and Chen G R 2008 Phys. Lett. A 372 5681
[23]	Glatt E, Massel M and Kaiser F 2007 Phys. Rev. E 75] 026206
[24]	Chen H S, Zhang J Q and Liu J Q 2008 Physica A 387] 1071
[25]	Hodgkin A L and Huxley A F 1952 J. Physiol. 117 500
[26]	Perc M 2005 Phys. Rev. E 72 016207
[27]	Pikovsky A S and Kurths J 1997 Phys. Rev. Lett. 78 775
[28]	Perc M and Marhl M 2006 Phys. Rev. E 73 066205
[29]	Perc M, Gosak M and Marhl M 2007 Chem. Phys. Lett. 437 143

Spatial coherence resonance induced by coloured noise and parameter diversity in a neuronal network

Spatial coherence resonance induced by coloured noise and parameter diversity in a neuronal network

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