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Exponential attractor and its fractal dimension for a second order lattice dynamical system. (English) Zbl 1192.37107

The authors investigate an exponential attractor with fractal dimension and approximation for a second order lattice dynamical system of nonlinear damping arising from spatial discretization of wave equations in real finite-dimensional spaces using basic theories of differential equations and semigroups.

MSC:

37L60 Lattice dynamics and infinite-dimensional dissipative dynamical systems
37C70 Attractors and repellers of smooth dynamical systems and their topological structure
37L30 Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems
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