Computes the solutions to the non-linear Duffing equation.
The Ejs Duffing Chaos model computes the solutions to the non-linear Duffing Equation, which reads, x + 2纬x - x (1 - x2) = f cos(蠅 t), where each prime denotes a time derivative. The simulation displays two solutions with different initial positions and a plot of phase. The evolution parameters can be changed via textboxes. You can modify this simulation if you have Ejs installed by right-clicking within the plot and selecting Open Ejs Model from the pop-up menu item.

This simulation explores the Duffing equation, which reads (in dimensionless variables) as follows: x + 2 纬 x - x (1-x2) = f cos 蠅t where each denotes a time derivative.

* You can select below the parameters 纬 and f, as well as the initial conditions for the elongation x and the velocity v = x for the two solutions that are simultaneously computed. Initial conditions can also be selected by moving with the mouse the point on the display Phase space.
* The unit time is 1/ 蠅 (so that 蠅 = 1).
* For information on other elements, put over them the mouse pointer to get a tooltip. you can free download Duffing Chaos Model now.