A MINIMAL 2-D QUADRATIC MAP WITH QUASI-PERIODIC ROUTE TO CHAOS


ZERAOULIA ELHADJ
Department of Mathematics, University of T´eb´essa,
(12000), Algeria
zeraoulia@mail.univ-tebessa.dz
zelhadj12@yahoo.fr

J. C. SPROTT
Department of Physics, University of Wisconsin,
Madison, WI 53706, USA
sprott@physics.wisc.edu

Received April 19, 2007; Revised May 30, 2007

ABSTRACT

The aim of this paper is to present and analyze a minimal chaotic map of the plane, then we describe in detail the dynamical behavior of this map, along with some other dynamical phenomena.

Ref: E. Zeraoulia and  J. C. Sprott, International Journal of Bifurcation and Chaos 18, 1567-1577 (2008)

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