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Lyapunov exponents as a nonparametric diagnostic for stability analysis

 

作者: W. D. Dechert,   R. Gencay,  

 

期刊: Journal of Applied Econometrics  (WILEY Available online 1992)
卷期: Volume 7, issue S1  

页码: 41-60

 

ISSN:0883-7252

 

年代: 1992

 

DOI:10.1002/jae.3950070505

 

出版商: Wiley Subscription Services, Inc., A Wiley Company

 

数据来源: WILEY

 

摘要:

AbstractThe common observation made in the empirical nonlinear dynamics literature is the constraints imposed by the availability of a limited number of observations in the implementation of the existing algorithms of Lyapunov exponents. The algorithm discussed here can estimate allnLyapunov exponents of an unknownn‐dimensional dynamical system accurately with limited number of observations. This makes the algorithm attractive for applications to economic as well as financial time‐series data. The implementation of the algorithm is carried out by multilayer feedforward networks which are capable of approximating any function and its derivatives to any degree of accur

 

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