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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Articles by authors
DING Rui-Qiang
LI Jian-Ping
HA Kyung-Ja
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