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Computing Periodic Orbits and their Bifurcations with Automatic Differentiation
Automatic Differentiation Computing Periodic Orbits
2015/8/25
This paper examines algorithms for computing periodic orbits of dynamical systems. Our
goal is to explore the limits of accuracy that are attainable for these calculations within
the pragmatic conte...
The dynamics of
uids are often studied through the reduction of partial di erential
equations to systems with only a few degrees of freedom. Analysis of these low dimensional
vector elds remains ...