Invariant manifolds, global attractors and almost periodic solutions of nonautonomous difference equations (Q1879172)

The authors study quasilinear nonautonomous difference equations. They prove that such equations admit an invariant manifold. Further, conditions guaranteeing the existence of a compact global attractor are obtained. Its structure is characterized. A criterion for the existence of almost periodic and recurrent solutions of the quasilinear nonautonomous difference equations is also derived. Finally, it is proved that quasilinear maps with chaotic basis admit a chaotic compact invariant set.