ON THE DYNAMICS OF A NEW SIMPLE 2-D RATIONAL DISCRETE MAPPING
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 January 24, 2010
ABSTRACT
This paper is devoted to the analysis of a new simple rational map
of
the plane. Its dynamics are described in some detail, along with
some
other dynamical phenomena. In particular, the map under
consideration
is the first simple rational map whose fraction has no vanishing
denominator that gives chaotic attractors via a quasi-periodic route
to
chaos.