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    Author(s): John E. Franke; James F. Selgrade
    Date: 2003
    Source: J. Math Anal. Appl. 286: 64-79
    Publication Series: Miscellaneous Publication
    PDF: View PDF  (799 KB)


    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.

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

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