2024 Fixed point indices of iterated maps

Fixed point indices of iterated maps

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August undefined, 2024

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, … 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 …

CiteSeerX — Citation Query Fixed point indices of iterated maps

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. WebDold, A.. "Fixed point indices of iterated maps.." Inventiones mathematicae 74 (1983): 419-436. . garmin gps repairs

The Lefschetz numbers of iterated maps - ScienceDirect

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 … WebSep 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 … garmin gps s10 user\\u0027s manual

Fixed point indices of iterated maps SpringerLink

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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 … 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 … black rhino toyota wheelsWebDec 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 … garmin gps repair shop in layton

"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. " - Fixed point indices of iterated maps

Fixed point indices of iterated maps

Dynamique des homéomorphismes du plan au voisinage d

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 - … 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 …

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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; 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 …

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. 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 …

WebJan 1, 2005 · (PDF) Fixed point indices of iterated planar maps Fixed point indices of iterated planar maps January 2005 Authors: Grzegorz Graff Gdansk University of … WebSep 15, 2011 · Fixed point indices of iterated smooth maps in arbitrary dimension @article{Graff2011FixedPI, title={Fixed point indices of iterated smooth maps in …

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 …

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 … garmin gps replacement batteryWebOct 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 … garmin gps rino 755t updatesWebDec 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) … black rhino venture beadlockWebMay 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 … garmin gps replacement screenWebThere 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 … garmin gps s10 user\u0027s manualWebThe 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 ... black rhino warlord ddtWebFixed 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 ... black rhino truck rims