Fixed point indices of iterated maps

WebSep 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 ... 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 …

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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 … 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 port city race cars chassis repair https://handsontherapist.com

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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 … 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. 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; port city pub portsmouth nh

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Fixed point indices of iterated maps

Fixed point indices of iterated smooth maps in arbitrary …

WebFixed point indices of iterated maps A. Dold* Mathematisches lnstitut der Universit~it, Im Neuenheimer Feld, D-6900 Heidelberg, Federal Republic of Germany 1. … 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 …

Fixed point indices of iterated maps

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WebSep 15, 2011 · Fixed point indices of iterated smooth maps in arbitrary dimension @article{Graff2011FixedPI, title={Fixed point indices of iterated smooth maps in … 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 …

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 … 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.

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, … 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 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 …

WebDec 1, 2008 · The 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) … port city pupsWebFixed 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 … port city race car chassisWebMay 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 … port city racing michiganWebJul 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 - … irish schoolsport city racing chassisWebThe 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 ... port city rat trap by gerry boyleWebSep 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 … irish scones delivered