Reidemeister orbit sets

Boju Jiang; Seoung Ho Lee; Moo Ha Woo

Displaying similar documents to “Reidemeister orbit sets”

On the primary orbits of star maps (second part: spiral orbits)

Lluís Alsedà, José Miguel Moreno (2002)

Applicationes Mathematicae

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This paper is the second part of [2] and is devoted to the study of the spiral orbits of self maps of the 4-star with the branching point fixed, completing the characterization of the strongly directed primary orbits for such maps.

On the primary orbits of star maps (first part)

Lluis Alsedà, Jose Miguel Moreno (2002)

Applicationes Mathematicae

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This paper is the first one of a series of two, in which we characterize a class of primary orbits of self maps of the 4-star with the branching point fixed. This class of orbits plays, for such maps, the same role as the directed primary orbits of self maps of the 3-star with the branching point fixed. Some of the primary orbits (namely, those having at most one coloured arrow) are characterized at once for the general case of n-star maps.

Forcing relations for homoclinic orbits of the Smale horseshoe map.

Collins, Pieter (2005)

Experimental Mathematics

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On the orbits of hat-functions

Marek C. Zdun (1976)

Colloquium Mathematicae

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On conditions under which isometries have bounded orbits

Aleksander Całka (1984)

Colloquium Mathematicae

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Orbit properties of functions and "Pre-Abel'' equations

György Targoński (1977)

Annales Polonici Mathematici

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Periodic orbits and chain-transitive sets of C1-diffeomorphisms

Sylvain Crovisier (2006)

Publications Mathématiques de l'IHÉS

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We prove that the chain-transitive sets of C-generic diffeomorphisms are approximated in the Hausdorff topology by periodic orbits. This implies that the homoclinic classes are dense among the chain-recurrence classes. This result is a consequence of a global connecting lemma, which allows to build by a C-perturbation an orbit connecting several prescribed points. One deduces a weak shadowing property satisfied by C-generic diffeomorphisms: any pseudo-orbit is approximated in the Hausdorff...

Natural group actions on tensor products of three real vector spaces with finitely many orbits.

Đokovic, Dragomir Z̆., Tingley, Peter W. (2001)

ELA. The Electronic Journal of Linear Algebra [electronic only]

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On the Asymptotic Distribution of Closed Orbits for a Class of Open Billiards

Julien, Julien (2010)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 37D40. We explain why the lengths of the closed orbits in a certain class of open billiards are asymptotically equidistributed with respect to the number of their reflections.

How restrictive is topological dynamics?

Anzelm Iwanik (1997)

Commentationes Mathematicae Universitatis Carolinae

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Let $T$ be a permutation of an abstract set $X$ . In ZFC, we find a necessary and sufficient condition it terms of cardinalities of the $T$ -orbits that allows us to topologize $(X, T)$ as a topological dynamical system on a compact Hausdorff space. This extends an early result of H. de Vries concerning compact metric dynamical systems. An analogous result is obtained for $𝐙^{2}$ -actions without periodic points.

Orbit Structure of certain $ℝ^{2}$ -actions on solid torus

C. Maquera, L. F. Martins (2008)

Annales de la faculté des sciences de Toulouse Mathématiques

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In this paper we describe the orbit structure of $C^{2}$ -actions of $ℝ^{2}$ on the solid torus $S^{1} \times D^{2}$ having $S^{1} \times {0}$ and $S^{1} \times \partial D^{2}$ as the only compact orbits, and $S^{1} \times {0}$ as singular set.