A piece-wise affine contracting map with positive entropy

Boris Kruglikov; Martin Rypdal

doi:10.3934/dcds.2006.16.393

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2006, Volume 16, Issue 2: 393-394. Doi: 10.3934/dcds.2006.16.393

This issue Previous Article Shadowing of geodesics, weak stability of the geodesic flow and global hyperbolic geometry Next Article Entropy via multiplicity

A piece-wise affine contracting map with positive entropy

Boris Kruglikov^1, and
Martin Rypdal^1,

1.
Institute of Mathematics and Statistics, University of Troms∅, N-9037 Troms∅

Received: February 28, 2006

Published: March 2006

Abstract Related Papers Cited by

Abstract

We construct the simplest chaotic system with a two-point attractor on the plane.

Keywords:

Piecewise affine maps,
topological entropy.

Mathematics Subject Classification: Primary: 37B40, 37D50; Secondary: 37D25.

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