Displaying similar documents to “Structure of one-dimensional chain-recurrent sets of flows on the 2-sphere and on the plane.”

Representations of Jordan algebras and special functions

Giancarlo Travaglini (1991)

Colloquium Mathematicae

Similarity:

This paper is concerned with the action of a special formally real Jordan algebra U on an Euclidean space E, with the decomposition of E under this action and with an application of this decomposition to the study of Bessel functions on the self-adjoint homogeneous cone associated to U.

On reflection of stationary sets

Q. Feng, Menachem Magidor (1992)

Fundamenta Mathematicae

Similarity:

We show that there are stationary subsets of uncountable spaces which do not reflect.

Saddles for expansive flows with the pseudo orbits tracing property

Jerzy Ombach (1991)

Annales Polonici Mathematici

Similarity:

Let F be an expansive flow with the pseudo orbits tracing property on a compact metric space X. Suppose X is connected, locally connected and contains at least two distinct orbits. Then any point is a saddle.

The fundamental theorem of dynamical systems

Douglas E. Norton (1995)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

We propose the title of The Fundamental Theorem of Dynamical Systems for a theorem of Charles Conley concerning the decomposition of spaces on which dynamical systems are defined. First, we briefly set the context and state the theorem. After some definitions and preliminary results, based both on Conley's work and modifications to it, we present a sketch of a proof of the result in the setting of the iteration of continuous functions on compact metric spaces. Finally, we claim that...