A MINIMAL 2-D QUADRATIC MAP WITH QUASI-PERIODIC ROUTE TO CHAOS
ZERAOULIA ELHADJ
Department of Mathematics, University of T´eb´essa,
(12000), Algeria
zeraoulia@mail.univ-tebessa.dz
zelhadj12@yahoo.fr
J. C. SPROTT
Department of Physics, University of Wisconsin,
Madison, WI 53706, USA
sprott@physics.wisc.edu
Received April 19, 2007; Revised May 30, 2007
ABSTRACT
The aim of this paper is to present and analyze a minimal chaotic
map
of the plane, then we describe in detail the dynamical behavior of
this
map, along with some other dynamical phenomena.