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大气科学  2009 

Studies of Predictability of Single Variable from Multi-dimensional Chaotic Dynamical System
混沌系统单变量可预报性研究

Keywords: predictability,Lyapunov exponent,chaos,Henon map,Lorenz system
可预报性
,Lyapunov指数,混沌,Henon映射,Lorenz系统

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Abstract:

To study the atmospheric predictability from the view of nonlinear error growth dynamics,a new approach,the nonlinear local Lyapunov exponent(NLLE),is introduced by the authors recently.The NLLE and its derivatives can be used to quantify the predictability of chaotic dynamical systems.For an n-dimensional chaotic dynamical system,the predictability of its different variables is proved to be different.To quantify the predictability of single variable of multi-dimensional chaotic dynamical system,the nonline...

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