Phase behavior in a ring of stochastic oscillators

被引:2
作者
Carusela, M. F. [1 ]
Romanelli, L. [1 ]
机构
[1] Univ Gen Sarmiento, Inst Ciencias, Los Polvorines, Argentina
来源
ADVANCES IN COMPLEX SYSTEMS | 2008年 / 11卷 / 01期
关键词
noise; stochastic systems;
D O I
10.1142/S0219525908001453
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We analyze the phase response of a system shaped as a ring of overdamped bistable and noisy oscillators coupled directionally. This device, which operates in the regime of stochastic resonance, may act as a short-term memory device. In the present work we show that in this regime the system presents partial phase synchronization with an average frequency equal to the external one. For lower/greater values of noise the system becomes more/less ordered, which is characterized by a statistical measure.
引用
收藏
页码:55 / 64
页数:10
相关论文
共 35 条
[1]   NOISE-INDUCED ENHANCEMENT OF SIGNAL-TRANSDUCTION ACROSS VOLTAGE-DEPENDENT ION CHANNELS [J].
BEZRUKOV, SM ;
VODYANOY, I .
NATURE, 1995, 378 (6555) :362-364
[2]   The synchronization of chaotic systems [J].
Boccaletti, S ;
Kurths, J ;
Osipov, G ;
Valladares, DL ;
Zhou, CS .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2002, 366 (1-2) :1-101
[3]   Oscillatory systems driven by noise: Frequency and phase synchronization [J].
Callenbach, Lars ;
Hänggi, Peter ;
Linz, Stefan J. ;
Freund, Jan A. ;
Schimansky-Geier, Lutz .
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2002, 65 (05) :1-051110
[4]   Phase analysis in delayed systems [J].
Carusela, MF ;
Romanelli, L .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 338 (3-4) :425-430
[5]  
Carusela MF, 2001, PHYS REV E, V64, DOI 10.1103/PhysRevE.64.031101
[6]   STOCHASTIC RESONANCE WITHOUT TUNING [J].
COLLINS, JJ ;
CHOW, CC ;
IMHOFF, TT .
NATURE, 1995, 376 (6537) :236-238
[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]   Frequency and phase synchronization in stochastic systems [J].
Freund, JA ;
Schimansky-Geier, L ;
Hänggi, P .
CHAOS, 2003, 13 (01) :225-238
[9]   Stochastic resonance [J].
Gammaitoni, L ;
Hanggi, P ;
Jung, P ;
Marchesoni, F .
REVIEWS OF MODERN PHYSICS, 1998, 70 (01) :223-287
[10]   Stochastic resonance in a neuronal network from mammalian brain [J].
Gluckman, BJ ;
Netoff, TI ;
Neel, EJ ;
Ditto, WL ;
Spano, ML ;
Schiff, SJ .
PHYSICAL REVIEW LETTERS, 1996, 77 (19) :4098-4101