Fractals & Chaos Recap for 11/5

We continued sketching state space diagrams for the frictionless pendulum, then a more realistic damped pendulum. We closed out the lesson today with a look at the random, chaotic behavior of a double pendulum. Through this you learned a new property of chaos (in addition to the constrained randomness from our previous conversations): sensitivity to initial conditions. Changing the starting state of the double pendulum even slightly resulted in a wildly different oscillation pattern

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