Finite-dimensional approximations of nonautonomous lattice dynamical systems are uniformly dissipative with upper semi-continuous attractor convergence.
Bates, Kening Lu and Bixiang Wang, Attractors for Lattice Dynamical Systems
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Approximation of Attractors of Nonautonomous Lattice Dynamical Systems
Finite-dimensional approximations of nonautonomous lattice dynamical systems are uniformly dissipative with upper semi-continuous attractor convergence.