Fixed point indices of iterated maps

Author: rsor

August undefined, 2024

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 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 …

One-Dimensional Maps - Cornell 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. 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 … imdb arthur miller

Fixed point indices of iterated smooth maps in arbitrary …

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 … 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 … 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 … imdb a royal christmas

The numbers of periodic orbits hidden at fixed points of 2 …

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 … 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 … list of librarian trades minecraftWeb"Fixed point indices of iterated maps.." Inventiones mathematicae 74 (1983): 419-436. . @article{Dold1983, author = {Dold, A.}, journal = … imdb arthur movie

"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 … " - Fixed point indices of iterated maps

Fixed point indices of iterated maps

Fixed point indices of iterates of a low-dimensional …

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

Did you know?

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 ... 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 …

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 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) …

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 …

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

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 … imdb arthur whiteWebSep 15, 2011 · Fixed point indices of iterated smooth maps in arbitrary dimension @article{Graff2011FixedPI, title={Fixed point indices of iterated smooth maps in … imdb arthur loweWebThe 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 ... list of liberty university minorsWebJan 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 … list of licensed dentistWebApr 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. imdb arthur lakeWebLet 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 … imdb a second chanceWebJan 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 ... imdb a second chance at love