Tébessa, Algeria
EXISTENCE OF SUPER CHAOTIC ATTRACTORS
IN A GENERAL PIECEWISE SMOOTH MAP
OF THE PLANE
Elhafsi Boukhalfa and Elhadj Zeraoulia
Department of Mathematics, University of TébessaTébessa, Algeria
| INDECS 12(1), 92-98, 2014 DOI 10.7906/indecs.12.1.6 Full text available here. |
Received: 30 September 2013 |
ABSTRACT
In this paper we give some rigorous conditions for the occurrence of super chaotic attractors in a general piecewise smooth map of the plane.
KEY WORDS
piecewise smooth map, super chaotic attractor, rigorous proof of chaos, Lyapunov exponents
CLASSIFICATION
JEL: Y91, Z00
PACS: 05.45.-a, 05.45.Gg