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 systems2012Vol. 1pp. 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.