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

Department of Dermatology, Allergology and Venereology

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.

Original language	German
DOIs	https://doi.org/10.1117/12.492943
Publication status	Published - 12.11.2003

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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.",

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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.

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

Abstract

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