user since
Tue Nov 18 2008 at 19:37:34 (9 years ago )
last seen
Tue May 31 2016 at 23:31:35 (1.5 years ago )
number of write-ups
18 - View maverickmath's writeups (feed)
level / experience
3 (Scribe) / 761
specialties
nonlinear dynamics, mathematical modelling, dxing, infornography, anxiety disorders, ...
most recent writeup
cognitive maps
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The Anxiety-Driven Shadower

Chaotic processes have the property that relatively small numerical errors tend to grow exponentially fast. One may therefore question the validity of a computer study over times longer than this relatively short time. A relevant result in this regard is that of Anosov and Bowen who showed that systems which are uniformly hyperbolic will have the shadowing property: A numerical (or noisy) orbit will stay close to (shadow) a true orbit for all time. More recent results also apply to nonhyperbolic situations.


The Maverick Mathologist.



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