The Unified Chaotic System Describing the Lorenz and Chua Systems

Zeraoulia Elhadj and Julien Clinton Sprott

Manuscript received on April 2, 2010

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.

Ref: E. Zeraoulia and  J. C. Sprott, Facta Universitatis 23, 345-355 (2010)

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