Title :
On the Non-equivalence of Lü System and Lorenz System
Author :
Kong, Xiangxing ; Hou, Zhenting ; Kang, Ning
Author_Institution :
Sch. of Math., Central South Univ., Changsha, China
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.
Keywords :
chaos; Lorenz system; Lu system; chaotic parameter; equilibrium point; nonequivalence system; Bifurcation; Chaos; Educational institutions; Jacobian matrices; Technological innovation; Lü system; Lorenz system; smooth equivalence; topological equivalence;
Conference_Titel :
Chaos-Fractals Theories and Applications (IWCFTA), 2010 International Workshop on
Conference_Location :
Kunming, Yunnan
Print_ISBN :
978-1-4244-8815-5
DOI :
10.1109/IWCFTA.2010.79
