Influence of spatiotemporal 1/f ∝-noise on structure formation in excitable media

被引:2
作者
Busch, H [1 ]
García-Qjalvo, J [1 ]
Kaiser, F [1 ]
机构
[1] Tech Univ Darmstadt, Inst Appl Phys, D-64289 Darmstadt, Germany
来源
NOISE IN COMPLEX SYSTEMS AND STOCHASTIC DYNAMICS | 2003年 / 5114卷
关键词
1/f noise; spatiotemporal pattern formation; data analysis; FitzHugh-Nagumo oscillator;
D O I
10.1117/12.492943
中图分类号
O59 [应用物理学];
学科分类号
摘要
The influence of spatiotemporally correlated power-law, i.e. 1/f(alpha), noise on pattern formation in a two dimensional excitable medium consisting of coupled FitzHugh-Nagumo (FHN) oscillators is discussed. The signature of Spatiotemporal Stochastic Resonance (STSR) is investigated using the mutual information. It is found that optimal noise variance for STSR is minimal, if both the spatial and temporal power spectral densities of the noise decay with a characteristic exponent of alpha = 1. This effect is related to the band-pass frequency filtering characteristic of the FHN oscillator.
引用
收藏
页码:468 / 477
页数:10
相关论文
共 41 条
[1]   Noise-induced Brownian motion of spiral waves -: art. no. 046205 [J].
Alonso, S ;
Sagués, F .
PHYSICAL REVIEW E, 2001, 63 (04)
[2]   Regular wave propagation out of noise in chemical active media -: art. no. 078302 [J].
Alonso, S ;
Sendiña-Nadal, I ;
Pérez-Muñuzuri, V ;
Sancho, JM ;
Sagués, F .
PHYSICAL REVIEW LETTERS, 2001, 87 (07) :78302-1
[3]  
[Anonymous], 1988, SCI FRACTAL IMAGES
[4]  
[Anonymous], 1983, New York
[5]   SELF-ORGANIZED CRITICALITY - AN EXPLANATION OF 1/F NOISE [J].
BAK, P ;
TANG, C ;
WIESENFELD, K .
PHYSICAL REVIEW LETTERS, 1987, 59 (04) :381-384
[6]   SPIRAL WAVES IN A SURFACE-REACTION - MODEL-CALCULATIONS [J].
BAR, M ;
GOTTSCHALK, N ;
EISWIRTH, M ;
ERTL, G .
JOURNAL OF CHEMICAL PHYSICS, 1994, 100 (02) :1202-1214
[7]  
BAR M, 1993, PHYS REV E, V48, pR1636
[8]   SPIRAL-WAVE DYNAMICS IN A SIMPLE-MODEL OF EXCITABLE MEDIA - THE TRANSITION FROM SIMPLE TO COMPOUND ROTATION [J].
BARKLEY, D ;
KNESS, M ;
TUCKERMAN, LS .
PHYSICAL REVIEW A, 1990, 42 (04) :2489-2492
[9]   NUMERICAL-METHOD FOR COLORED-NOISE GENERATION AND ITS APPLICATION TO A BISTABLE SYSTEM [J].
BILLAH, KYR ;
SHINOZUKA, M .
PHYSICAL REVIEW A, 1990, 42 (12) :7492-7495
[10]   Effect of colored noise on networks of nonlinear oscillators -: art. no. 021105 [J].
Busch, H ;
Hütt, MT ;
Kaiser, F .
PHYSICAL REVIEW E, 2001, 64 (02) :5