A Unified Piecewise Smooth Chaotic
Mapping that Contains the Hénon and the Lozi Systems
Zeraoulia Elhadj
Department of Mathematics, University of Tébessa, (12002),
Algeria.
e-mail: zeraoulia@mail.univ-tebessa.dz, and zelhadj12@yahoo.fr.
J. C. Sprott
Department of Physics, University of Wisconsin, Madison, WI 53706,
USA.
e-mail: sprott@physics.wisc.edu.
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.
Manuscript accepted November 12,
2011.
Ref: E. Zeraoulia
and J. C. Sprott, Annual Review of
Chaos Theory, Bifurcations and Dynamical Systems 1, 50-60 (2012)
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