Some Open Problems in Chaos Theory and Dynamics

Zeraoulia Elhadj and J. C. Sprott,

Department of Mathematics, University of Tébessa, (12002), Algeria.
e-mail: [email protected] and [email protected].
Department of Physics, University of Wisconsin, Madison, WI 53706, USA.
e-mail:[email protected].

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.

Ref: E. Zeraoulia and  J. C. Sprott, International Journal of Open Problems in Computer Science and Mathematics 4, 1-10 (2011)

The complete paper is available in PDF format.

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