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Numerical Calculation of Lyapunov Exponents

M. Sandri
Journal / Anthology

The Mathematica Journal
Year: 1996
Volume: 6
Issue: 3
Page range: 78-84

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.

*Mathematics > Calculus and Analysis > Dynamical Systems


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