This was also
noted by Aurell et al (1996, 1997) who defined a Finite Size Lyapunov
Exponent (FSLE):
The FSLE is clearly related to the
Average Bred Growth Rate
ABGR
is easier to compute than FSLE, but they both converge to the
Lyapunov
exponent for infinitesimal amplitudes and intervals
Boffetta
et al (1998) used a coupled fast/slow Lorenz model to show
that
the predictability is a function of the
tolerance
Δ,
and for small amplitude
fast
modes, predictability is larger than
the
Lyapunov estimation
