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- W2355574870 abstract "The well-known Lorenz equations are used to study the limitation that the predictability of chaotic system has been inˉvestigated by using the linearized equations.It is demonstrated that the linearized version of Lorenz equations describe the evolutions of sufficiently small perturbations,while Lorenz equations themselves characterize the development of the small perturbations only during the finite short time interval.With the development of time,Lorenz system begins to get into chaotic state,which characterizes the nonlinear evolution of the initial perturbation.In this case,the linearized equations do not hold.Besides,comparisons between the times when the evolutions of the small and large perturbations get into chaotic state show that the small initial perturbations and the short time intervals support the holding of the linear approximation to the chaotic Lorenz system." @default.
- W2355574870 created "2016-06-24" @default.
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- W2355574870 date "2004-01-01" @default.
- W2355574870 modified "2023-09-25" @default.
- W2355574870 title "Investigation of Studying Predictability of Chaotic System by Using its Linearized Equations" @default.
- W2355574870 hasPublicationYear "2004" @default.
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