Facta Univ. Ser.: Elec. Energ., vol. 23, No. 3, December 2010, pp. 345-355

The Unified Chaotic System Describing the Lorenz and Chua Systems

Zeraoulia Elhadj and Julien Clinton Sprott

Abstract: This paper introduces the dynamical behaviors of a unified nonlinear chaotic system which describes a two-family chaotic system containing the original Lorenz and the original Chua systems as two extremes and some other systems as a transition in between via a new constructed joint function. This system can display two kinds of attractors, those with one scroll and those with two scrolls.

Keywords: Unified system, double-scroll attractor, quasi-attractor, Lorenz-type attractor.

8elhadj.pdf