# American Institute of Mathematical Sciences

June  2006, 16(2): 393-394. doi: 10.3934/dcds.2006.16.393

## A piece-wise affine contracting map with positive entropy

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

Received  March 2006 Published  July 2006

We construct the simplest chaotic system with a two-point attractor on the plane.
Citation: Boris Kruglikov, Martin Rypdal. A piece-wise affine contracting map with positive entropy. Discrete and Continuous Dynamical Systems, 2006, 16 (2) : 393-394. doi: 10.3934/dcds.2006.16.393
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