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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- user since
- Tue Nov 18 2008 at 19:37:34 (9.7 years ago )
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- Tue May 31 2016 at 23:31:35 (2.2 years ago )
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- nonlinear dynamics, mathematical modelling, dxing, infornography, anxiety disorders, ...
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