Nonlinear Local Lyapunov Exponent and Quantification of Local Predictability

Chin. Phys. Lett.

2008, Vol. 25

Issue (5): 1919-1922 DOI:

Original Articles

Nonlinear Local Lyapunov Exponent and Quantification of Local Predictability

DING Rui-Qiang¹;LI Jian-Ping¹;HA Kyung-Ja²

¹State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics (LASG), Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029²Division of Earth Environmental System, Pusan National University, Busan 609-735, Korea

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DING Rui-Qiang, LI Jian-Ping, HA Kyung-Ja 2008 Chin. Phys. Lett. 25 1919-1922

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Abstract Nonlinear local Lyapunov exponent (NLLE) is applied to quantitatively determine the local predictability limit of chaotic systems. As an example, we find that the local predictability limit of Henon attractor varies considerably with time, and some underlying phase-spatial structure does not appear. The local predictability limit of initially adjacent points in phase space may be completely different. This will cause difficulties in making the long-time analogue forecast.

Keywords: 95.10.Fh 92.60.Wc

Received: 03 December 2007 Published: 29 April 2008

PACS:	95.10.Fh	(Chaotic dynamics)
	92.60.Wc	(Weather analysis and prediction)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2008/V25/I5/01919

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	DING Rui-Qiang
	LI Jian-Ping
	HA Kyung-Ja

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