This webpage uses the Runge-Kutta-Fehlberg fourth-order method with fifth-order error checking (RKF45) to approximate the solution to the problem of the Duffing oscillator: $$\ddot{x} + \delta \dot{x} + \alpha x + \beta x^3 = \gamma \cos{(\omega t)}$$ Below you can specify these various parameters, as well as the initial conditions and starting and end times. The default values give chaotic behaviour.
The buttons below pertain to the animation immediately below them.