Estimation of Lyapunov dimension for the Chen and Lu systems

D. V. Kusakin; G. A. Leonov; N. A. Korzhemanova; N. V. Kuznetsov

Estimation of Lyapunov dimension for the Chen and Lu systems

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arxiv 1504.04726 v1 pith:QS6YMNKL submitted 2015-04-18 nlin.CD math.DS

G. A. Leonov , N. V. Kuznetsov , N. A. Korzhemanova , D. V. Kusakin This is my paper

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keywords chendimensionlyapunovsystemsparametersattractorsclassicalestimates

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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.

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