Fixed point indices of iterated maps

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August undefined, 2024

WebDec 1, 2007 · Indices of a fixed point (under iteration) are investigated in the case of a smooth mapping. A linear lower bound on the number of periodic points of a smooth … WebThe 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 ...

Figure 5 from A Poincaré Formula for the Fixed Point Indices of …

WebJan 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 ... WebDec 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 … green hell antihistamine

Equivariant ﬁxed-point indices of iterated maps

WebMar 1, 2009 · When the origin is an isolated fixed point, its fixed point index is defined by µ g (0) = π g−id (0). ... Fixed point indices of iterated maps. Article. Oct 1983; A. Dold; WebSep 15, 2011 · Fixed point indices of iterated smooth maps in arbitrary dimension @article{Graff2011FixedPI, title={Fixed point indices of iterated smooth maps in … 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, … green hell antiparasitic

Equivariant fixed-point indices of iterated maps

Fixed-orbit indices, I Semantic Scholar

WebOne-dimensional maps (sometimes called difference equations or iterated maps or recursion relations) are mathematical systems that model a single variable as it evolves over … WebDold, A.. "Fixed point indices of iterated maps.." Inventiones mathematicae 74 (1983): 419-436. . flutter tinder card swipeWebMar 31, 2010 · Dold A. Fixed point indices of iterated maps. Invent Math, 1983, 74: 419–435. Article MATH MathSciNet Google Scholar Fagella N, Llibre J. Periodic points of holomorphic maps via Lefschetz numbers. Trans Amer Math Soc, 2000, 352: 4711–4730. Article MATH MathSciNet Google Scholar green hell animals poisoned

"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 … " - Fixed point indices of iterated maps

Fixed point indices of iterated maps

Fixed point indices of iterated smooth maps in arbitrary …

WebWe 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 constructed by Ponto and … WebProperties of fixed points of equivariant maps have been studied by several authors including A. Dold (cf. [2], 1982), H. Ulrich (cf. [9], 1988), A. Marzantowicz (cf. [7], 1975) and others. Closely related is the work of R. Rubinsztein (cf. [8], 1976) in which he investigated homotopy classes of equivariant maps between spheres.

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Web"Fixed point indices of iterated maps.." Inventiones mathematicae 74 (1983): 419-436. . @article{Dold1983, author = {Dold, A.}, journal = … WebFixed point indices of iterated maps A. Dold* Mathematisches lnstitut der Universit~it, Im Neuenheimer Feld, D-6900 Heidelberg, Federal Republic of Germany 1. …

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 … WebApr 20, 2024 · G. Graff, J. Jezierski, and P. Nowak-Przygodzki, Fixed point indices of iterated smooth maps in arbitrary dimension, J. Differential Equations 251 (2011), 1526–1548. Article MathSciNet MATH Google Scholar G. Graff and W. Marzantowicz, Fixed point indices of iterated planar maps, Folia Math. 12 (2005), 3–13.

WebMay 18, 2010 · DOI: 10.1155/2010/323069 Corpus ID: 34155652; A Poincaré Formula for the Fixed Point Indices of the Iterates of Arbitrary Planar Homeomorphisms @article{RuizdelPortal2010APF, title={A Poincar{\'e} Formula for the Fixed Point Indices of the Iterates of Arbitrary Planar Homeomorphisms}, author={Francisco R. Ruiz del Portal … 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 smooth maps in arbitrary dimension. Article. Sep 2011; Grzegorz Graff; ... We compute the fixed point indices of the iterates of f at p, i(R2)(f(k), p), and we ...

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. green hell antiparasitic plantsWebSep 1, 2011 · For a C 1 mapf : R m → R m , with 0 as an isolated fixed point for each iteration, the formula for {ind (f n , 0)} n (n odd) is (except for some restriction on a 1 ) exactly the same as (3.7 ... green hell any goodWebOct 27, 1995 · Dold, Fixed point indices of iterated maps, Invent. Math. 74 (1983) 419^35. [7] R.F. Brown, The Lefschetz Fixed Point Theorem (Scott, Foresman, Glenview, IL, 1971). [8] H. Duan, A characteristic polynomial for self-maps of ff-spaces, Quart. J. Math. Oxford 44 (1993) 315-325. [9] M. Shub and D. Sullivan, A remark on the Lefschetz fixed … flutter tip wand reviewWebThere exist a number of fixed-point theorems that guarantee the existence of fixed points in various situations, including the Banach fixed point theorem and the Brouwer fixed … green hell apk download for android green hell are there several storiesWebMay 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 … green hell animal husbandry guideWebSep 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 … flutter tinder clone github