On differences and similarities in the analysis of Lorenz, Chen, and Lu systems

G.A. Leonov and N.V. Kuznetsov

Applied Mathematics and Computation, 2015, vol. 256, issue C, 334-343

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 (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.

Keywords: Lorenz-like systems; Lorenz system; Chen system; Lu system; Lyapunov exponent; Chaotic analog of 16th Hilbert problem (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (13)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:256:y:2015:i:c:p:334-343

DOI: 10.1016/j.amc.2014.12.132

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