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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    “The very definition of the real becomes: that of which it is possible to give an equivalent reproduction.... The real is not only what can be reproduced, but that which is always already reproduced. The hyperreal.”
    —Jean Baudrillard (b. 1929)