Discrete Dynamics in Nature and Society
Volume 2005 (2005), Issue 3, Pages 235-238
A new chaotic attractor from 2D discrete mapping
via border-collision period-doubling scenario
Department of Mathematics, University of Tébéssa, Tébéssa 12000, Algeria
Received 12 April 2005
Copyright © 2005 Zeraoulia Elhadj. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The following map is studied:
. It is proved numerically
that this model can display two different chaotic
attractors, one is new
and the other is a Lozi-type attractor. The new chaotic attractor
is allowed via a border-collision period-doubling scenario, which
is different from the classical period-doubling bifurcation.