ScholarLens Back to search
1993•Bulletin of the Australian Mathematical SocietyOpen access

Twist orbits for non continuous maps of degree one

Francisco Esquembre

Open full text 0 citations

Abstract

The existence of twist orbits and twist cycles with a given rotation number is considered for discrete dynamical systems generated by iteration of liftings of maps of the circle into itself. The class of maps for which such orbits exist for every number in the interior of the rotation set is extended to contain an important subclass of non-continuous maps.

Open-access reader

About this research paper

What this paper is about

The existence of twist orbits and twist cycles with a given rotation number is considered for discrete dynamical systems generated by iteration of liftings of maps of the circle into itself. The class of maps for which such orbits exist for every number in the interior of the rotation set is extended to contain an important subclass of non-continuous maps.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

The existence of twist orbits and twist cycles with a given rotation number is considered for discrete dynamical systems generated by iteration of liftings of maps of the circle into itself. The class of maps for which such orbits exist for every number in the interior of the rotation set is extended to contain an important subclass of non-continuous maps.

Key concepts: Mathematics, Rotation number, Twist, Rotation (mathematics), Degree (music), Pure mathematics, Class (philosophy), Dynamical systems theory

Related papers

Related paper 1Related paper 2
Back to paper searchBrowse research topicsOriginal source
Twist orbits for non continuous maps of degree one — Research Paper | ScholarLens