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Exponential attractors for Belousov-Zhabotinskii reaction model. (English) Zbl 1189.37084
Summary: 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 \(\varepsilon > 0\) tends to zero, the attractor dimension tends to infinity, although the exponential attractor can depend on the excitability continuously.

MSC:
37L25 Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems
35K57 Reaction-diffusion equations
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