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

页码：468 / 477

页数：10

共 41 条

[11]

BUSCH H, 2003, IN PRESS PHYS REV E

[12] Fast simulations of waves in three-dimensional excitable media [J].

Dowle, M ;

Mantel, RM ;

Barkley, D .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1997, 7 (11) :2529-2545

[13] Stochastic gene expression in a single cell [J].

Elowitz, MB ;

Levine, AJ ;

Siggia, ED ;

Swain, PS .

SCIENCE, 2002, 297 (5584) :1183-1186

[14] IMPULSES AND PHYSIOLOGICAL STATES IN THEORETICAL MODELS OF NERVE MEMBRANE [J].

FITZHUGH, R .

BIOPHYSICAL JOURNAL, 1961, 1 (06) :445-&

[15] Noise-induced spiral dynamics in excitable media [J].

García-Ojalvo, J ;

Schimansky-Geier, L .

EUROPHYSICS LETTERS, 1999, 47 (03) :298-303

[16]

GARCIAOJALVO J, 1999, NOISE SPATIALLY EXTE

[17] Signal transfer and stochastic resonance in coupled nonlinear systems [J].

Hauptmann, C ;

Kaiser, F ;

Eichwald, C .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (06) :1159-1167

[18] Multiscaled randomness: A possible source of 1/f noise in biology [J].

Hausdorff, JM ;

Peng, CK .

PHYSICAL REVIEW E, 1996, 54 (02) :2154-2157

[19] Noise-sustained pulsating patterns and global oscillations in subexcitable media [J].

Hempel, H ;

Schimansky-Geier, L ;

García-Ojalvo, J .

PHYSICAL REVIEW LETTERS, 1999, 82 (18) :3713-3716

[20] SPIRAL BREAKUP IN A NEW MODEL OF DISCRETE EXCITABLE MEDIA [J].

ITO, H ;

GLASS, L .

PHYSICAL REVIEW LETTERS, 1991, 66 (05) :671-674

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