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Lyap: A fortran 90 program to compute the Lyapunov exponents of a dynamical system from a time series

✍ Scribed by Fabio Sattin


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
435 KB
Volume
107
Category
Article
ISSN
0010-4655

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✦ Synopsis


The program presented computes all the Lyapunov exponents of an unknown dynamical system from a time series. The method used is based on a fitting of the time series with an analytical function through a least square minimizatior, after which the Lyapunov exponents are determined from the stability of the trajectories calculated using this analytical function.


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The Lyapunov exponent is a means of quantitatively evaluating the orbit instability of a dynamical system. In calculating the Lyapunov exponent by measuring the time series from a dynamical system, it is necessary to input the time series data into a computer system using an A-D converter. However,