Chaotic dynamics in Bonhoffer-van der Pol fractional reaction-diffusion system

Authors:
B. Y. Datsko;V. V. Gafiychuk
Affiliations:
Institute of Applied Problems of Mechanics and Mathematics of National Academy of Sciences, Naukova 3b, Lviv 79063, Ukraine;SGT Inc., 7701 Greenbelt Rd Suite 400, Greenbelt, MD 20770, USA and NASA Ames Research Center, Moffett Field, CA 94035-1000, USA
Venue:
Signal Processing
Year:
2011

Citing 12
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Abstract

In this article we analyze the linear stability of nonlinear fractional reaction-diffusion systems. As an example, the reaction-diffusion model with cubic nonlinearity is considered. By computer simulation, it was shown that in such simplest system, a complex nonlinear dynamics, which includes spatially non-homogeneous oscillations and spatio-temporal chaos, takes place. Possible applications of the fractional reaction-diffusion system for signal processing and pattern recognition systems are presented.