Fixed point indices of iterated maps

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August undefined, 2024

WebDold, A.. "Fixed point indices of iterated maps.." Inventiones mathematicae 74 (1983): 419-436. . WebThis paper studies the iteration of maps of the interval which have negative Schwarzian derivative and one critical point. The maps in this class are classified up to topological …

Equivariant fixed-point indices of iterated maps

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. 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 … rayzor plumbing

(PDF) Fixed point indices of iterated planar maps

WebLet f: U→ X, where Uis an open subset of Xbe a map which belongs to a given class of maps G. Restrictions on X or Glead to bounds on the form of local indices of iterations … 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 - … rayzor light

Equivariant fixed-point indices of iterated maps

WebOct 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 … 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 … simplyvibe speakersWebSep 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 ... simply vietnamese tenafly

"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 … " - Fixed point indices of iterated maps

Fixed point indices of iterated maps

Fixed point indices of iterated smooth maps in arbitrary dimensi…

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 … 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 …

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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, … Webby Davide L. Ferrario - In Handbook of topological fixed point theory, 2005 Let G be a finite group acting on a topological space X, which is termed a G-space. We recall a few basic …

WebThere 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 … 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 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 ... 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.

WebMar 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

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; rayzor real nameWebJan 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 ... simply vietnamese expressWebSep 1, 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 and Yorke … rayzor hedgesWebSep 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 … rayzor roofing and plumbingWebDec 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 … rayzor ranch denton texasWebMay 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 … rayzor roofing \u0026 plumbingWebSep 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 … rayzor ranch townhomes