To simulate a double pendulum in MATLAB, we need to solve the equations of motion using numerical integration. The equations of motion can be derived using Lagrangian mechanics.

Here's an example code that simulates a double pendulum:

`main.m1602 chars51 lines`

Here, we first define the parameters of the system, namely the gravitational acceleration `g`

, the lengths of the two pendulums `L1`

and `L2`

, and their masses `m1`

and `m2`

.

Next, we define the initial conditions for the two pendulums, namely their initial angles and angular velocities.

We then simulate the system using the ODE solver `ode45`

, which takes in the ODE function `double_pendulum_odefun`

, the initial conditions `y0`

, and the time interval `tspan`

.

Finally, we plot the positions of the two pendulums over time using the `plot`

function.

The `double_pendulum_odefun`

function computes the derivatives of the state variables at a given time `t`

, given the current state `y`

and the system parameters.

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