Uniform exponential attractors for non-autonomous KGS and Zakharov lattice systems with quasiperiodic external forces

We first present some sufficient conditions for the existence of a uniform exponential attractor for a family of continuous processes on separable Hilbert spaces and the space of infinite sequences. Then we study the existence of uniform exponential attractors for the dissipative non-autonomous Klein–Gordon–Schrödinger lattice system and the Zakharov lattice system driven by quasi-periodic external forces in the space of infinite sequences.