Pulse propagation in a model for the photosensitive Belousov-Zhabotinsky reaction with external noise

Valentina Beato; Harald Engel

doi:10.1117/12.490183

7 May 2003 Pulse propagation in a model for the photosensitive Belousov-Zhabotinsky reaction with external noise

Valentina Beato, Harald Engel

Proceedings Volume 5114, Noise in Complex Systems and Stochastic Dynamics; (2003) https://doi.org/10.1117/12.490183
Event: SPIE's First International Symposium on Fluctuations and Noise, 2003, Santa Fe, New Mexico, United States

Abstract

We study the dynamics of excitation pulses in a modified Oregonator model for the light-sensitive Belousov-Zhabotinsky (BZ)reaction assuming that the intensity of the applied illumination is a spatiotemporal stochastic field with finite correlation time and correlation length. For a two-component version of the model we discuss the dependence of the pulse speed on the characteristic parameters of the noise in the framework of a small noise approximation up to the first order in the correlation time. In the full three-component model we find enhancement of coherence resonance for suitable chosen correlation time. Based on this observation, we propose a mechanism for noise-enhanced propagation of pulse trains in excitable media subjected to external fluctuations.

Citation Download Citation

Valentina Beato and Harald Engel "Pulse propagation in a model for the photosensitive Belousov-Zhabotinsky reaction with external noise", Proc. SPIE 5114, Noise in Complex Systems and Stochastic Dynamics, (7 May 2003); https://doi.org/10.1117/12.490183

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