Attractors for discrete periodic dynamical systems

Abstract

A mathematical framework is introduced to study attractors of discrete, nonautonomous dynamical systems which depend periodically on time. A structure theorem for such attractors is established which says that the attractor of a time-periodic dynamical system is the unin of attractors of appropriate autonomous maps. If the nonautonomous system is a perturbation of an autonomous map, properties that the nonautonomous attractor inherits from the autonomous attractor are discussed.

Citation

Franke, John E.; Selgrade, James F. 2003. Attractors for discrete periodic dynamical systems. J. Math Anal. Appl. 286: 64-79