Influence of spatiotemporal 1/ f α−noise on structure formation in excitable media

Hauke Busch; Jordi Garcia-Ojalvo; Friedemann Kaiser

doi:10.1117/12.492943

Influence of spatiotemporal 1/ f α−noise on structure formation in excitable media

Hauke Busch, Jordi Garcia-Ojalvo, Friedemann Kaiser

Klinik für Dermatologie, Allergologie und Venerologie

Abstract

The influence of spatiotemporally correlated power-law, i.e. 1/f α , 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 α = 1. This effect is related to the band-pass frequency filtering characteristic of the FHN oscillator.

Originalsprache	Deutsch
DOIs	https://doi.org/10.1117/12.492943
Publikationsstatus	Veröffentlicht - 12.11.2003

UN SDGs

Dieser Output leistet einen Beitrag zu folgendem(n) Ziel(en) für nachhaltige Entwicklung

SDG 3 – Gesundheit und Wohlergehen
SDG 9 – Industrie, Innovation und Infrastruktur

Dokumente

10.1117/12.492943

Weitere Links

Zitieren

@conference{2c0676d48e8f4ba08edc32faf6dd457f,

title = "Influence of spatiotemporal 1/ f α−noise on structure formation in excitable media",

abstract = "The influence of spatiotemporally correlated power-law, i.e. 1/f α , 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 α = 1. This effect is related to the band-pass frequency filtering characteristic of the FHN oscillator.",

author = "Hauke Busch and Jordi Garcia-Ojalvo and Friedemann Kaiser",

year = "2003",

month = nov,

day = "12",

doi = "10.1117/12.492943",

language = "Deutsch",

}

TY - CONF

T1 - Influence of spatiotemporal 1/ f α−noise on structure formation in excitable media

AU - Busch, Hauke

AU - Garcia-Ojalvo, Jordi

AU - Kaiser, Friedemann

PY - 2003/11/12

Y1 - 2003/11/12

N2 - The influence of spatiotemporally correlated power-law, i.e. 1/f α , 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 α = 1. This effect is related to the band-pass frequency filtering characteristic of the FHN oscillator.

AB - The influence of spatiotemporally correlated power-law, i.e. 1/f α , 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 α = 1. This effect is related to the band-pass frequency filtering characteristic of the FHN oscillator.

UR - http://www.mendeley.com/research/influence-spatiotemporal-1-f-%CE%B1noise-structure-formation-excitable-media

U2 - 10.1117/12.492943

DO - 10.1117/12.492943

M3 - Konferenzpapiere

ER -