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
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Applied Mathematics and ComputationDate
2015Discipline
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© 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.
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Except where otherwise noted, this item's license is described as © 2015 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license.