6533b839fe1ef96bd12a5d03

RESEARCH PRODUCT

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

Gennady A. LeonovNikolay Kuznetsov

subject

FOS: Physical sciencesLyapunov exponentLorenz-like systemsLu systemChaotic analog of 16th Hilbert problemReduction (complexity)symbols.namesakeChenDevelopment (topology)Lorenz systemChaotic systemsCalculusApplied mathematicsEquivalence (measure theory)MathematicsbiologyApplied Mathematicsta111Lorenz systembiology.organism_classificationNonlinear Sciences - Chaotic DynamicsComputational MathematicsChen systemsymbolsChaotic Dynamics (nlin.CD)Lyapunov exponent

description

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.

yearjournalcountryeditionlanguage
2015-04-01Applied Mathematics and Computation
10.1016/j.amc.2014.12.132http://dx.doi.org/10.1016/j.amc.2014.12.132