Stochastic resonance in a model of opinion formation on small-world networks

被引:70
作者
Kuperman, M [1 ]
Zanette, D
机构
[1] Ctr Atom Bariloche, RA-8400 San Carlos De Bariloche, Rio Negro, Argentina
[2] Inst Balseiro, RA-8400 San Carlos De Bariloche, Rio Negro, Argentina
关键词
D O I
10.1140/epjb/e20020104
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
We analyze the phenomenon of stochastic resonance in an Ising-like system on a small-world network. The system, which is subject to the combined action of noise and an external modulation, can be interpreted as a stylized model of opinion formation by imitation under the effects of a "fashion wave". Both the amplitude threshold for the detection of the external modulation and the width of the stochastic-resonance peak show considerable variation as the randomness of the underlying small-world network is changed.
引用
收藏
页码:387 / 391
页数:5
相关论文
共 24 条
[1]   Stochastic resonance in the Weidlich model of public opinion formation [J].
Babinec, P .
PHYSICS LETTERS A, 1997, 225 (1-3) :179-181
[2]   On the properties of small-world network models [J].
Barrat, A ;
Weigt, M .
EUROPEAN PHYSICAL JOURNAL B, 2000, 13 (03) :547-560
[3]   THE MECHANISM OF STOCHASTIC RESONANCE [J].
BENZI, R ;
SUTERA, A ;
VULPIANI, A .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1981, 14 (11) :L453-L457
[4]   NOISE-INDUCED ENHANCEMENT OF SIGNAL-TRANSDUCTION ACROSS VOLTAGE-DEPENDENT ION CHANNELS [J].
BEZRUKOV, SM ;
VODYANOY, I .
NATURE, 1995, 378 (6555) :362-364
[5]   Stochastic resonance in extended bistable systems: The role of potential symmetry [J].
Bouzat, S ;
Wio, HS .
PHYSICAL REVIEW E, 1999, 59 (05) :5142-5149
[6]  
CASTRO F, 2001, PHYS REV E, V64
[7]   NOISE ENHANCEMENT OF INFORMATION-TRANSFER IN CRAYFISH MECHANORECEPTORS BY STOCHASTIC RESONANCE [J].
DOUGLASS, JK ;
WILKENS, L ;
PANTAZELOU, E ;
MOSS, F .
NATURE, 1993, 365 (6444) :337-340
[8]   STOCHASTIC RESONANCE IN A BISTABLE SYSTEM [J].
FAUVE, S ;
HESLOT, F .
PHYSICS LETTERS A, 1983, 97 (1-2) :5-7
[9]   Stochastic resonance [J].
Gammaitoni, L ;
Hanggi, P ;
Jung, P ;
Marchesoni, F .
REVIEWS OF MODERN PHYSICS, 1998, 70 (01) :223-287
[10]  
Gardiner C. W., 1985, HDB STOCHASTIC METHO, V3