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.

Ref: E. Zeraoulia and  J. C. Sprott, International Journal of Bifurcation and Chaos 19, 1023-1027 (2009)

The complete paper is available in PDF format.

Return to Sprott's Books and Publications.