Markov partitions reflecting the geometry of $\times2$, $\times3$

Thomas Ward; Yuki Yayama

doi:10.3934/dcds.2009.24.613

Article Contents

2009, Volume 24, Issue 2: 613-624. Doi: 10.3934/dcds.2009.24.613

This issue Previous Article Attractor minimal sets for nonautonomous type-K competitive and semi-convex delay differential equations with applications Next Article Analyticity of the nonlinear scattering operator

Markov partitions reflecting the geometry of $\times2$, $\times3$

Thomas Ward^1, and
Yuki Yayama²

1.
School of Mathematics, University of East Anglia, Norwich, NR4 7TJ
2.
Centro de Modelamiento Matemático, Universidad de Chile, Av. Blanco Encalada 2120, piso 7, Santiago

Received: July 2008

Revised: November 2008

Published: June 2009

Abstract Related Papers Cited by

Abstract

We give an explicit geometric description of the $\times2$, $\times3$ system, and use this to study a uniform family of Markov partitions related to those of Wilson and Abramov. The behaviour of these partitions is stable across expansive cones and transitions in this behaviour detect the non-expansive lines.

Keywords:

Mathematics Subject Classification: Primary: 22D40, 37A15; Secondary: 37A35.

Citation:

Article Metrics

HTML views() PDF downloads(145) Cited by(0)

Markov partitions reflecting the geometry of $\times2$, $\times3$

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Markov partitions reflecting the geometry of $\times2$, $\times3$

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content