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Introduction
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Newton
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Stability of Lagrange Points
The Chaotic Pendulum
Subsections
Introduction
Basic Problem
Analytic Solution
Numerical Solution
Poincaré Section
Spatial Symmetry Breaking
Basins of Attraction
Period-Doubling Bifurcations
Route to Chaos
Sensitivity to Initial Conditions
Definition of Chaos
Periodic Windows
Further Investigation
Richard Fitzpatrick 2009-07-28