A Unified Piecewise Smooth Chaotic
Mapping that Contains the Hénon and the Lozi Systems
Department of Mathematics, University of Tébessa, (12002),
e-mail: firstname.lastname@example.org, and email@example.com.
J. C. Sprott
Department of Physics, University of Wisconsin, Madison, WI 53706,
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,
Ref: E. Zeraoulia
and J. C. Sprott, Annual Review of
Chaos Theory, Bifurcations and Dynamical Systems 1, 50-60 (2012)
The complete paper is available in
Return to Sprott's Books and Publications.