V. Paar et N. Pavin, Relation between uncertainty exponent and mean lifetime of chaotic transient for map on annulus, MOD PHY L B, 14(5), 2000, pp. 167-172
For a map on the annulus, it is tested numerically that, within errors of t
he calculation of 0.4%, the inverse of the mean lifetime of chaotic transie
nt is equal to the product of the uncertainty exponent and the Lyapunov exp
onent. The second-order term in the Taylor series expansion for inverse lif
etime has no effect within the precision of the calculation.