double_pendulum

Location: http://people.sc.fsu.edu/~jburkardt/classes/math1902_2020/double_pendulum/double_pendulum.html

double_pendulum describes the linear pendulum, nonlinear pendulum, and double pendulum problems.

The notes:

Matlab:

double_pendulum_deriv.m, evaluates the right hand side of the double pendulum ODE.
double_pendulum_energy.m, returns the energy for the double pendulum ODE.
double_pendulum_movie_small.m, sets up the small perturbation double pendulum problem, and makes a movie of the solution.
double_pendulum_parameters.m, returns for the double pendulum problem.
double_pendulum_test.m, runs a simulation of the double pendulum problem. Several options for initial condition or ODE solver are commented out, and can be easily "turned on".
euler.m, an Euler method ODE solver.
midpoint.m, a midpoint ODE solver.
pendulum_comparison.m, compares the linear and nonlinear pendulum models.
pendulum_conserved.m, returns the energy for the linear pendulum ODE.
pendulum_deriv.m, evaluates the right hand side of the linear pendulum ODE.
pendulum_exact.m, returns the exact solution for the linear pendulum ODE.
pendulum_ode_test.m, calls pendulum_ode45() to solve the linear pendulum ODE.
pendulum_ode45.m, uses ode45() to solve the linear pendulum ODE.
pendulum_parameters.m, returns the parameters for the linear pendulum ODE.
pendulum_nonlinear_conserved.m, returns the energy for the nonlinear pendulum ODE.
pendulum_nonlinear_deriv.m, evaluates the right hand side of the nonlinear pendulum ODE.
pendulum_nonlinear_ode_test.m, solves the nonlinear pendulum ODE.
pendulum_nonlinear_parameters.m, returns the parameters for the nonlinear pendulum ODE.
rk4.m, a fourth-order Runge-Kutta ODE solver.

Movies:

double_pendulum_movie_small.avi, a movie of the small perturbation double pendulum solution.

Images:

Last revised on 16 November 2020.