Numerical Calculation of Lyapunov Exponents
Volume 6, Issue 3
Marco Sandri, University of Verona, Italy
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 nearly 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.