Compact uniform attractors for dissipative non-autonomous lattice dynamical systems
2007
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.
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