On Conley's Fundamental Theorem of Dynamical Systems

2000/09/20 by M. R. Razvan, Razvan, M. R.
Mathematics · Physics and Astronomy · #54H20 #Chaos control and synchronization #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #math.DS #msc:54H20

paper · pdf · doi:10.48550/arxiv.math/0009184

7 pages

arxiv created 2000/09/20 · openalex publication_date 2000/09/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we generalize Conley's fundamental theorem of dynamical systems in Conley index theory. We also conclude the existence of regular index filtration for every Morse decomposition.

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