Lyapunov Exponent - Definition of The Maximal Lyapunov Exponent

Definition of The Maximal Lyapunov Exponent

The maximal Lyapunov exponent can be defined as follows:

\lambda = \lim_{t \to \infty} \lim_{\delta \mathbf{Z}_0 \to 0} \frac{1}{t} \ln\frac{| \delta\mathbf{Z}(t)|}{|\delta \mathbf{Z}_0|}.

The limit ensures the validity of the linear approximation at any time.

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