Exponential attractors for Belousov-Zhabotinskii reaction model
Atsushi Yagi - Department of Applied Physics, Osaka University, Suita, Osaka, 565-0871, Japan (email)
Abstract: This paper is concerned with the Belousov-Zhabotinskii reaction model. We consider the reaction-diffusion model due to Keener-Tyson. After constructing a dynamical system, we will construct exponential attractors and will estimate the attractor dimension from below. In particular, it will be shown that, as the excitability $\epsilon > 0$ tends to zero, the attractor dimension tends to infinity, although the exponential attractor can depend on the excitability continuously.
Keywords: Belousov-Zhabotinskii reaction, Reaction-diffusion model, Exponential attractors
Received: July 2008; Revised: April 2009; Published: September 2009.