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Morse Decompositions for Nonautonomous General Dynamical Systems

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Abstract

The Morse decomposition theory for nonautonomous general dynamical systems (set-valued dynamical systems) and differential inclusions is established. The stability of Morse decompositions of pullback attractors is also addressed.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, People’s Republic of China

    Yejuan Wang

  2. Department of Mathematics, Tianjin University, Tianjin, 300072, People’s Republic of China

    Desheng Li

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  1. Yejuan Wang
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  2. Desheng Li
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Correspondence to Yejuan Wang.

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Wang, Y., Li, D. Morse Decompositions for Nonautonomous General Dynamical Systems. Set-Valued Var. Anal 22, 117–154 (2014). https://doi.org/10.1007/s11228-013-0264-1

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  • DOI: https://doi.org/10.1007/s11228-013-0264-1

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