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

Hauke Busch; Jordi Garcia-Ojalvo; Friedemann Kaiser

doi:10.1117/12.492943

7 May 2003 Influence of spatiotemporal 1/fα−noise on structure formation in excitable media

Hauke Busch, Jordi Garcia-Ojalvo, Friedemann Kaiser

Proceedings Volume 5114, Noise in Complex Systems and Stochastic Dynamics; (2003) https://doi.org/10.1117/12.492943
Event: SPIE's First International Symposium on Fluctuations and Noise, 2003, Santa Fe, New Mexico, United States

Abstract

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.

Citation Download Citation

Hauke Busch, Jordi Garcia-Ojalvo, and Friedemann Kaiser "Influence of spatiotemporal 1/fα−noise on structure formation in excitable media", Proc. SPIE 5114, Noise in Complex Systems and Stochastic Dynamics, (7 May 2003); https://doi.org/10.1117/12.492943

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