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Exponential attractor for a first-order dissipative lattice dynamical system. (English) Zbl 1144.37036

Summary: We construct an exponential attractor for a first-order dissipative lattice dynamical system arising from spatial discretization of reaction-diffusion equations in \(\mathbb R^{k}\) and we obtain fractal dimension of the exponential attractor.

MSC:

37L60 Lattice dynamics and infinite-dimensional dissipative dynamical systems
35B41 Attractors
37L30 Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems
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References:

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