double_pendulum

Location: http://people.sc.fsu.edu/~jburkardt/classes/math1090_2020/double_pendulum/double_pendulum.html

double_pendulum describes the double pendulum problem.

The notes:

• double_pendulum.pdf
• double_pendulum.tex

Matlab:

• double_pendulum_data.m, data for the double pendulum problem.
• double_pendulum_deriv.m, evaluates the right hand side of the double pendulum system of ODE's.
• double_pendulum_energy.m, returns the energy of a double pendulum system solution.
• double_pendulum_movie_small.m, sets up the small perturbation double pendulum problem, and makes a movie of the solution.
• double_pendulum_movie_small.avi, a movie of the small perturbation double pendulum solution.
• double_pendulum_test.m, runs a simulation of the double pendulum problem.
• euler.m, a revised version of the forward Euler code, which can handle systems of ODEs.
• midpoint_fixed.m, a midpoint "fixed-point" ODE solver.
• rk1.m, the Euler method, written as a Runge Kutta ODE solver.
• rk12.m, the Euler/Heun methods, written as a pair of Runge Kutta ODE solvers, returning an error estimate.
• rk12_adapt.m, the Euler/Heun methods, written as a pair of Runge Kutta ODE solvers, using an adaptive stepsize.
• rk2.m, the Heun method, written as a Runge Kutta ODE solver.
• rk4.m, a fourth-order Runge-Kutta ODE solver.

Images:

• double_pendulum.png
• dp_small_energy.png
• dp_small_phase.png
• dp_small_x1y1.png
• dp_small_x2y2.png