Duffing Chaos Model
|Op. System:||Windows XP/2000/98|
|File size:||1.34 MB|
Publisher description for Duffing Chaos Model
The Ejs Duffing Chaos model computes the solutions to the non-linear Duffing Equation, which reads, x'' + 2??x' - x (1 - x2) = f cos(?? 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 ?? x' - x (1-x2) = f cos ??t where each ' denotes a time derivative. * You can select below the parameters ?? 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/ ?? (so that ?? = 1). * For information on other elements, put over them the mouse pointer to get a tooltip.