An exotic flow on a compact surface

N. Markley; M. Vanderschoot

Displaying similar documents to “An exotic flow on a compact surface”

Non equivalence of NMS flows on $S^{3}$

B. Campos, P. Vindel (2012)

Mathematica Bohemica

Similarity:

We build the flows of non singular Morse-Smale systems on the 3-sphere from its round handle decomposition. We show the existence of flows corresponding to the same link of periodic orbits that are non equivalent. So, the link of periodic orbits is not in a 1-1 correspondence with this type of flows and we search for other topological invariants such as the associated dual graph.

Continuous and discrete flows and the property of $c h 0^{\pm}$

Saroop Kaul (1987)

Fundamenta Mathematicae

Similarity:

On the discrete Godbillon-Vey invariant and Dehn surgery on geodesic flows

Marco Brunella (1994)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Similarity:

Flows near compact invariant sets. Part I

Pedro Teixeira (2013)

Fundamenta Mathematicae

Similarity:

It is proved that near a compact, invariant, proper subset of a C⁰ flow on a locally compact, connected metric space, at least one, out of twenty eight relevant dynamical phenomena, will necessarily occur. Theorem 1 shows that the connectedness of the phase space implies the existence of a considerably deeper classification of topological flow behaviour in the vicinity of compact invariant sets than that described in the classical theorems of Ura-Kimura and Bhatia. The proposed classification...

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

Similarity:

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.

Periodic orbits indices

Roman Srzednicki (1990)

Fundamenta Mathematicae

Similarity:

Hartman's theorem for complex flows in the Poincaré domain

John Guckenheimer (1972)

Compositio Mathematica

Similarity:

How restrictive is topological dynamics?

Anzelm Iwanik (1997)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

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.