THE DISCRETE HYPERCHAOTIC DOUBLE SCROLL
ZERAOULIA ELHADJ
Department of Mathematics, University of T´ebessa,
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
ABSTRACT
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.