6533b7d4fe1ef96bd1261e30

RESEARCH PRODUCT

Estimation of Lyapunov dimension for the Chen and Lu systems

G. A. LeonovN. V. KuznetsovN. A. KorzhemanovaD. V. Kusakin

subject

Nonlinear Sciences::Chaotic DynamicsMathematics::Dynamical SystemsFOS: MathematicsFOS: Physical sciencesDynamical Systems (math.DS)Chaotic Dynamics (nlin.CD)Mathematics - Dynamical SystemsNonlinear Sciences - Chaotic Dynamics

description

Nowadays various estimates of Lyapunov dimension of Lorenz-like systems attractors are actively developed. Within the frame of this study the question arises whether it is possible to obtain the corresponding estimates of dimension for the Chen and Lu systems using the reduction of them to the generalized Lorenz system. In the work (Chen and Yang, 2013) Leonov's method was applied for the estimation of Lyapunov dimension, and as a consequence the Lyapunov dimension of attractors of the Chen and Lu systems with the classical parameters was estimated. In the present work an inaccuracy in (Chen and Yang, 2013) is corrected and it is shown that the revised domain of parameters, where the estimate of Lyapunov dimension is valid, does not involve the classical parameters of the Chen and Lu systems.

yearjournalcountryeditionlanguage
2015-04-18
http://arxiv.org/abs/1504.04726