 |
Solution plot of the equation
|
 |
Solution plot of
|
 |
 |
 |
This is a plot of the path of a pendulum in phase space. X(t) is the displacement, and y(t) is the velocity, x'(t). |
 |
This is a damped pendulum. the Time variable is also shown, but advances to the left, so that the purple end of the curve shows the slowing down.
|
| It is a true pendulum (not linearized); the equations are: |
|
| Note that we have -sin(x) rather than -x. |
|
 |
A projection into the x-w-z subspace of the solution of the 4-dimensional differential equation system
|
|