Network dynamics and its relationships to topology andcoupling structure in excitable complex networks

doi:10.1088/1674-1056/23/10/108902

Abstract All dynamic complex networks have two important aspects, pattern dynamics and network topology. Discovering different types of pattern dynamics and exploring how these dynamics depend on network topologies are tasks of both great theoretical importance and broad practical significance. In this paper we study the oscillatory behaviors of excitable complex networks (ECNs) and find some interesting dynamic behaviors of ECNs in oscillatory probability, the multiplicity of oscillatory attractors, period distribution, and different types of oscillatory patterns (e.g., periodic, quasiperiodic, and chaotic). In these aspects, we further explore strikingly sharp differences among network dynamics induced by different topologies (random or scale-free topologies) and different interaction structures (symmetric or asymmetric couplings). The mechanisms behind these differences are explained physically.

Keywords: excitable complex networks network topology symmetric and asymmetric couplings

Received: 26 May 2014
Revised: 20 August 2014
Accepted manuscript online:

PACS:	89.75.Fb	(Structures and organization in complex systems)
	89.75.Kd	(Patterns)
	05.65.+b	(Self-organized systems)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11174034, 11135001, 11205041, and 11305112) and the Natural Science Foundation of Jiangsu Province, China (Grant No. BK20130282).

Corresponding Authors: Hu Gang,Mi Yuan-Yuan
E-mail: ganghu@bnu.edu.cn;miyuanyuan0102@163.com

About author: 89.75.Fb; 89.75.Kd; 05.65.+b

Cite this article:

Zhang Li-Sheng (张立升), Gu Wei-Feng (谷伟凤), Hu Gang (胡岗), Mi Yuan-Yuan (弭元元) Network dynamics and its relationships to topology andcoupling structure in excitable complex networks 2014 Chin. Phys. B 23 108902


[1]	Zaikin A N and Zhabotinsky A M 1970 Nature 225 535

[2]	Gollub J P and Langer J S 1999 Rev. Mod. Phys. 71 S396

[3]	Watts D J and Strogatz S H 1998 Nature 393 440

[4]	Barabáasi A L and Albert R 1999 Science 286 509

[5]	Dorogovtsev S N, Goltsev A V and Mendes J F F 2008 Rev. Mod. Phys. 80 1275

[6]	Nakao H and Mikhailov A S 2010 Nat. Phys. 6 544

[7]	Qian Y, Liao X, Huang X, Mi Y, Zhang L and Hu G 2010 Phys. Rev. E 82 026107

[8]	Liao X, Qian Y, Mi Y, Xia Q, Huang X and Hu G 2011 Front. Phys. 6 124

[9]	Gray C M 1994 J. Comput. Neurosci. 1 11

[10]	Buzsáki G and Draguhn A 2004 Science 304 1926

[11]	Carr C E 1993 Ann. Rev. Neurosci. 16 223

[12]	Buonomano D V and Maass W 2009 Nat. Rev. Neurosci. 10 113

[13]	Steriade M, McCormick D A and Sejnowski T J 1993 Science 262 679

[14]	Bar M and Eiswirth M 1993 Phys. Rev. E 48 R1635

[15]	Larremore D B, Shew W L and Restrepo J G 2011 Phys. Rev. Lett. 106 058101

[16]	Mi Y, Liao X, Huang X, Zhang L, Gu W, Hu G and Wu S 2013 Proc. Natl. Acad. Sci. USA 110 E4931

[17]	Sumbre G, Muto A, Baier H and Poo M-M 2008 Nature 456 102

[18]	Liao X, Xia Q, Qian Y, Zhang L, Hu G and Mi Y 2011 Phys. Rev. E 83 056204

[19]	Steele A J, Tinsley M and Showalter K 2006 Chaos 16 015110

[20]	McGraw P and Menzinger M 2011 Phys. Rev. E 83 037102

[21]	Mi Y, Zhang L, Huang X, Qian Yu, Hu G and Liao X 2011 Europhys. Lett. 95 58001

[22]	Xie F, Qu Z, Weiss J N and Garfinkel A 1999 Phys. Rev. E 59 2203

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