On the Non-equivalence of Lü System and Lorenz System

Abstract

The equivalence of the Lü system and the Lorenz system is studied in this paper. Based on the concept and techniques of the equilibrium point and resultant elimination, we prove that the Lü system with a set of chaotic parameters is not smoothly equivalent to the Lorenz system with any parameters, therefore prove the non-equivalence of Lü System and Lorenz System.