On differences and similarities in the analysis of Lorenz, Chen, and Lu systems
Leonov, G. A., & Kuznetsov, N. (2015). On differences and similarities in the analysis of Lorenz, Chen, and Lu systems. Applied Mathematics and Computation, 256, 334-343. doi:10.1016/j.amc.2014.12.132
Published inApplied Mathematics and Computation
© 2015 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license.
Currently it is being actively discussed the question of the equivalence of various Lorenzlike systems and the possibility of universal consideration of their behavior (Algaba et al., 2013a,b, 2014b,c; Chen, 2013; Chen and Yang, 2013; Leonov, 2013a), 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. It is shown that the Chen and the Lu systems stimulate the development of new methods for the analysis of chaotic systems. Open problems are discussed.