Differences and similarities in the analysis of Lorenz, Chen, and Lu systems

Abstract

Currently it is being actively discussed the question of the equivalence of various Lorenz-like systems and the possibility of universal consideration of their behavior, in view of the possibility of reduction of such systems to the same form with the help of various transformations. In the present paper the differences and similarities in the analysis of the Lorenz, the Chen and the Lu systems are discussed and it is shown that the Chen and the Lu systems are valuable for the development of new methods for the analysis of chaotic systems.