About structural stability of 3-D quadratic mappings

Elhadj Zeraoulia; J. C. Sprott

Elhadj Zeraoulia Department of Mathematics, University of TÂ´ ebessa, (12002), Algeria
J. C. Sprott Department of Physics, University of Wisconsin, Madison, WI 53706, USA

Abstract

In this paper, we discuss the concept of structural stability as a criterion for robustness of invariant sets in 3-D quadratic mappings. We give the exact form of the small perturbation for these maps. The relevance of this result is that the most results in the literature do not give any form for these perturbations.