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Introduction
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Stability of Lagrange Points
Contents
The Chaotic Pendulum
Subsections
Introduction
Analytic Solution
Numerical Solution
The Poincaré Section
Spatial Symmetry Breaking
Basins of Attraction
Period-Doubling Bifurcations
The Route to Chaos
Sensitivity to Initial Conditions
The Definition of Chaos
Periodic Windows
Further Investigation
Richard Fitzpatrick 2008-01-13