double pendulum by: rosa nguyen eps 109 – fall 2011

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DOUBLE PENDULUM By: Rosa Nguyen EPS 109 – Fall 2011

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Page 1: DOUBLE PENDULUM By: Rosa Nguyen EPS 109 – Fall 2011

DOUBLE PENDULUMBy: Rosa Nguyen

EPS 109 – Fall 2011

Page 2: DOUBLE PENDULUM By: Rosa Nguyen EPS 109 – Fall 2011

Double Pendulum

- A dynamical system where its motion is dictated by a set of ODE’s, which are derived from the initial position. Net forces, manipulation, and rewrite of derivatives to have first order equations.

- A simple pendulum where another point of movement can now occur (or another rod added at the end).

- Sensitive to initial conditions and can lead to chaos/unpredictability.

- This sets up our conditions to solve the ODE’s with our Runge Kutta method in a similar fashion with past homeworks.

Page 3: DOUBLE PENDULUM By: Rosa Nguyen EPS 109 – Fall 2011

• Run “double_pendulum.m” which calls on “ode2.m”