Nonlinear finite-time Lyapunov exponent and predictability

Nonlinear finite-time Lyapunov exponent and predictability
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非线性有限时间 Lyapunov 指数和可预测性

DOI:
10.1016/j.physleta.2006.11.094
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发表时间:
2007-05-07
期刊:
影响因子:
2.6
通讯作者:
Li, Jianping
Li, Jianping
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Ding, Ruiqiang;Li, Jianping

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在这封信中,我们介绍了非线性有限时间李雅普诺夫指数(FTLE),这是一个非线性推广到现有的本地或有限时间李雅普诺夫指数的定义。利用非线性FTLE及其导数,可以有效地定量确定大类混沌系统的动态可预报性极限。(C)2006 Elsevier B.V.保留所有权利。
In this Letter, we introduce a definition of the nonlinear finite-time Lyapunov exponent (FTLE), which is a nonlinear generalization to the existing local or finite-time Lyapunov exponents. With the nonlinear FTLE and its derivatives, the limit of dynamic predictability in large classes of chaotic systems can be efficiently and quantitatively determined. (C) 2006 Elsevier B.V. All rights reserved.