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

H. Busch; J. García-Ojalvo

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

H. Busch, J. García-Ojalvo

Clinic of Dermatology, Allergology and Venerology

UniversitatPolitècnica de Catalunya (UPC)

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	English
Journal	Proceedings of SPIE - The International Society for Optical Engineering
Volume	2003
Issue number	5114
Pages (from-to)	468-477
ISSN	0277-786X
Publication status	Published - 19.09.2003

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https://doi.org/10.1117/12.492943Licence: Other

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title = "Influence of spatiotemporal 1/fα-noise on structure formation in excitable media",

abstract = "The influence of spatiotemporally correlated power-law, i.e. 1/fα, 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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T1 - Influence of spatiotemporal 1/fα-noise on structure formation in excitable media

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AU - García-Ojalvo, J.

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N2 - The influence of spatiotemporally correlated power-law, i.e. 1/fα, 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/fα, 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.

M3 - Conference Articles in Journals

SN - 0277-786X

VL - 2003

SP - 468

EP - 477

JO - Proceedings of SPIE - The International Society for Optical Engineering

JF - Proceedings of SPIE - The International Society for Optical Engineering

IS - 5114

ER -

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

Abstract

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