A Unified Piecewise Smooth Chaotic Mapping that Contains the Hénon and the Lozi Systems

A Unified Piecewise Smooth Chaotic Mapping that Contains the Hénon and the Lozi Systems

Zeraoulia, Elhadj;Sprott, J. C.;
annual review of chaos theory, bifurcations and dynamical systems 2012 Vol. 1 pp. 50-60
322
zeraoulia2012aannual

Abstract

In this paper we introduce a new piecewise smooth mapping of the plane as a unified discrete-time chaotic system that contains the original H´enon and Lozi systems as two extremes and other systems as a transition in between and that has robust homoclinic chaos over a portion of its key system parameters. Dynamical behaviors of the unified system are investigated in some detail.

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