Pendulum In Phase Space

An undamped

Dynamics of fast mathematical

The

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For a

What you see on the right are 33000 double

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Pendulums

In this exercise, we find the

This animated

Here a simple

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Here you can watch the time evolution of a double

An example from Marion & Thornton, "Classical Dynamics of Particles and Systems" 5th ed., Section 4.6 "Chaos in a

Phase space

Simulated using g/l = 1 and 1000 random initial values for the angle and the angular velocity. Dotted line indicates energy ...