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# Compact uniform attractors for dissipative non-autonomous lattice dynamical systems

• This paper discusses the long time behavior of solutions for dissipative non-autonomous lattice dynamical systems. We first prove some sufficient and necessary conditions for the existence of a compact uniform attractor for the family of processes defined on a Hilbert space of infinite sequences, and then give an upper bound of the Kolmogorov $\varepsilon$-entropy for the uniform attractor. As an application, we consider the dissipative non-autonomous lattice Zakharov equations.
Mathematics Subject Classification: Primary: 35B40, 35Q55; Secondary: 37L50.

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