Editing Lyapunov time (section)

==Use==
The Lyapunov time mirrors the limits of the [[predictability]] of the system. By convention, it is defined as the time for the distance between nearby trajectories of the system to increase by a factor of ''[[e (mathematical constant)|e]]''. However, measures in terms of 2-foldings and 10-foldings are sometimes found, since they correspond to the loss of one bit of information or one digit of precision respectively.<ref name="gaspard" /><ref>{{cite arXiv |eprint=1706.08638 |last1=Friedland |first1=G. |last2=Metere |first2=A. |title=Isomorphism between Maximum Lyapunov Exponent and Shannon's Channel Capacity |year=2018 |class=cond-mat.stat-mech }}</ref>

While it is used in many applications of dynamical systems theory, it has been particularly used in [[celestial mechanics]] where it is important for the problem of the [[stability of the Solar System]]. However, empirical estimation of the Lyapunov time is often associated with computational or inherent uncertainties.<ref>{{cite journal |doi=10.1086/318732|title=A Comparison Between Methods to Compute Lyapunov Exponents|year=2001|last1=Tancredi|first1=G.|last2=Sánchez|first2=A.|last3=Roig|first3=F.|journal=The Astronomical Journal|volume=121|issue=2|pages=1171–1179|bibcode=2001AJ....121.1171T|doi-access=free}}</ref><ref>{{cite arXiv |eprint=0901.4871 |last1=Gerlach |first1=E. |title=On the Numerical Computability of Asteroidal Lyapunov Times |year=2009 |class=physics.comp-ph }}</ref>