THE DISCRETE HYPERCHAOTIC DOUBLE SCROLL
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 March 10, 2008; Revised July 31, 2008
In this paper we present and analyze a
new piecewise
linear map of the plane capable of generating chaotic attractors with
one and two scrolls. Due to the shape of the attractor and its
hyperchaoticity, we call it "the discrete hyperchaotic double scroll."
It has the same nonlinearity as used in the well-known Chua circuit. A
rigorous proof of the hyperchaoticity of this attractor is given and
numerically justified.