Spectral decomposition theorem in equicontinuous nonautonomous discrete dynamical systems

摘要

In this paper, we define the notion of weak chain recurrence and study properties of weak chain recurrent sets in a nonautonomous discrete dynamical system induced by a sequence of homeomorphisms on a compact metric space. Our main result is the Smale's spectral decomposition theorem in an equicontinuous nonautonomous discrete dynamical system.