Title
Spatio-Temporal Modeling Of Wave Formation In An Excitable Chemical Medium Based On A Revised Fitzhugh-Nagumo Model
Abstract
The wavefront profile and the propagation velocity of waves in an experimentally observed Belousov-Zhabotinskii reaction are analyzed and a revised FitzHumgh-Nagumo (FHN) model of these systems is identified. The ratio between the excitation period and the recovery period, for a solitary wave is studied, and included within the model. Averaged traveling velocities at different spatial positions are shown to be consistent under the same experimental conditions. The relationship between the propagation velocity and the curvature of the wavefront are also studied to deduce the diffusion coefficient in the model, which is a function of the curvature of the wavefront and not a constant. The application of the identified model is demonstrated on real experimental data and validated using multistep ahead predictions.
Year
DOI
Venue
2011
10.1142/S0218127411028556
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
DocType
Volume
Spatio-temporal, excitable media, FitzHugh-Nagumo model, identification
Journal
21
Issue
ISSN
Citations 
2
0218-1274
2
PageRank 
References 
Authors
0.46
1
6
Name
Order
Citations
PageRank
Y. Zhao127733.44
Stephen A. Billings220.46
Yuzhu Guo3366.76
Daniel Coca410620.12
L. L. DEMATOS581.77
R. I. Ristic681.77