Fixed point indices of iterated maps
WebThe fixed point index of fibre-preserving maps. Invent. Math. 25, 281–297 (1974) Google Scholar. Dold, A.: The fixed point transfer of fibre-preserving maps. Math. Z. 148, … WebFixed point of a map iteration sequence Ask Question Asked 5 years, 7 months ago Modified 5 years, 7 months ago Viewed 77 times 2 Let ( X, ‖ ⋅ ‖) be a Banach space and …
Fixed point indices of iterated maps
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WebIn mathematics, an iterated function is a function X → X (that is, a function from some set X to itself) which is obtained by composing another function f : X → X with itself a certain number of times. The process of repeatedly applying the same function is called iteration.In this process, starting from some initial object, the result of applying a given function is fed … WebFixed point indices of iterated maps A. Dold* Mathematisches lnstitut der Universit~it, Im Neuenheimer Feld, D-6900 Heidelberg, Federal Republic of Germany 1. …
WebSep 15, 2011 · We give a complete description of possible sequences of indices of iterations of f at an isolated fixed point, answering in affirmative the Chow, Mallet-Paret … WebDec 28, 2007 · A local index for isolated fixed-points is introduced, and the theorem of Shub and Sullivan on the vanishing of all but finitely many Dold indices for a continuously …
WebSep 3, 2024 · The numbers of periodic orbits hidden at fixed points of holomorphic maps. Part of: Complex dynamical systems Smooth dynamical systems: general theory Holomorphic mappings and correspondences. Published online by Cambridge University … WebLet G be a compact Lie group. Using methods from equivariant fibrewise stable homotopy theory, we study indices which measure algebraically (1) for a G-self-map f of a compact G-ENR, the set of G-orbits which are preserved by f and (2) for a G-vector field v on a closed smooth G-manifold, the set of points where v is parallel to the G-orbit through the point.
WebJul 6, 2024 · Finding the Fixed Points of an Iterative Map. I need to find fixed points of iterative map x [n] == 1/2 x [n-1]^2 - Mu. Subscript [g, n_ ] [Mu_, x_] := Nest [0.5 * x^2 - …
WebVol. 2 (2007) Equivariant fixed-point indices of iterated maps 173 points of φ with minimal period equal to k. Clearly D k is a G-set. Moreover, it has a compatible free … how to cite a package insert amaWebDold, A.. "Fixed point indices of iterated maps.." Inventiones mathematicae 74 (1983): 419-436. . how to cite a package insert purdueWebDec 28, 2007 · We describe an equivariant version (for actions of a finite group G) of Dold’s index theory, [10], for iterated maps. Equivariant Dold indices are defined, in general, for a G-map U → X defined on an open G-subset of a G-ANR X (and satisfying a suitable compactness condition). A local index for isolated fixed-points is introduced, and the … how to cite apa lawsWebThe realizability of sequences satisfying Dold's condition at a single fixed point of a continuous map on R3 is proved. Indices of a fixed point (under iteration) are investigated in the case of a ... how to cite a painting apa 7th editionWebJan 15, 2002 · The classical theorem of Shub and Sullivan states that a sequence of local fixed point indices of iterations of a C 1 self-map of R m is periodic. The paper generalizes ... In this expository paper we survey recent results on the form of indices of iterated planar maps, formulate some open questions and give new proofs for theorems concerning C ... how to cite a paraphrase from a bookWebSep 15, 2011 · Fixed point indices of iterated smooth maps in arbitrary dimension @article{Graff2011FixedPI, title={Fixed point indices of iterated smooth maps in … how to cite a parenthetical citation mlaWebMay 15, 2015 · We give a systematic exposition of the construction and properties of Lefschetz fixed-point indices for the n-valued maps studied by Schirmer, Brown and others, using techniques introduced by Dold. In particular, we discuss Dold’s fixed-point transfer [Math. Z. 148 (1976), 215–244] and a homotopy version of that transfer … how to cite a paraphrase mla 9