Numerical Calculation of Lyapunov Exponents -- from Wolfram Library Archive

Title

Numerical Calculation of Lyapunov Exponents

Author

M. Sandri

Journal / Anthology

The Mathematica Journal

Year:

1996

Volume:

Issue:

Page range:

78-84

Description

The Lyapunov characteristic exponents play a crucial role in the description of the behavior of dynamical systems. They measure the average rate of divergence or convergence of orbits starting from nearby initial points. Therefore, they can be used to analyze the stability of limits sets and to check sensitive dependence on initial conditions, that is, the presence of chaotic attractors. This article shows how to use Mathematica to compute the Lyapunov spectrum of a smooth dynamical system.

Subject

Mathematics > Calculus and Analysis > Dynamical Systems

URL

http://www.mathematica-journal.com/issue/v6i3/article/sandri/contents/63sandri.pdf

Enable JavaScript to interact with content and submit forms on Wolfram websites. Learn how »