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

TL;DR

This paper compares Lorenz, Chen, and Lu systems to understand their similarities and differences, highlighting how Chen and Lu systems aid in developing new chaos analysis methods.

Contribution

It provides a detailed comparison of Lorenz-like systems and emphasizes the role of Chen and Lu systems in advancing chaos analysis techniques.

Findings

Chen and Lu systems are valuable for new chaos analysis methods

Differences and similarities among Lorenz, Chen, and Lu systems are analyzed

Potential for universal treatment of Lorenz-like systems is discussed

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.