Generalities

Michael Shub
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Michael Shub: IBM, Thomas J. Watson Research Center

Chapter Chapter 1 in Global Stability of Dynamical Systems, 1987, pp 1-7 from Springer

Abstract: Abstract Let M be a smooth compact manifold, and f: M → M a diffeomorphism. Our goal is to study the structure of the orbits of f, where the orbit of a point x is the set {f n(x)|n ∈ Z}. We seek to describe the “history” of points of M; i.e., to follow them as we repeat f many times. First, the points with the simplest histories.

Keywords: Periodic Point; Global Stability; Baire Property; Vector Field Versus; Closing Lemma (search for similar items in EconPapers)
Date: 1987
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DOI: 10.1007/978-1-4757-1947-5_1

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