Some Open Problems in Chaos Theory and Dynamics
Zeraoulia Elhadj and
J. C. Sprott,
Department of Mathematics, University of Tébessa, (12002),
Algeria.
e-mail: zeraoulia@mail.univ-tebessa.dz and zelhadj12@yahoo.fr.
Department of Physics, University of Wisconsin, Madison, WI 53706,
USA.
e-mail:sprott@physics.wisc.edu.
ABSTRACT
In this paper, some new open
problems
are proposed about the following topics: 2-D rational mappings,
hyperbolic structure, structural stability, some questions about
periodic, homoclinic and heteroclinic orbits and classification
of
chaos, and finally some questions about the notion of
chaotification of
dynamical systems. The presentation of each problem is easy with
some
relevant work related to it.