# An example of planar Anosov diffeomorphisms without fixed points

## TL;DR

This paper constructs a specific example of planar Anosov diffeomorphisms that lack fixed points and are not topologically equivalent to simple translations, highlighting unique dynamical properties.

## Contribution

It provides the first known example of planar Anosov diffeomorphisms without fixed points that are not conjugate to translations.

## Key findings

- Existence of such Anosov diffeomorphisms without fixed points
- Demonstration that they are not topologically conjugate to translations
- New insights into the structure of planar Anosov systems

## Abstract

We construct an example of planar Anosov diffeomorphisms without fixed points which is not topologically conjugate to a translation.