Complex Ginzburg Landau

This demonstration solves a special form of the Complex Ginzburg Landau equation for the complex field A(x,y,t):

Try values of c3 equal to 0, 1.25 and 2.5.

The most general form has a complex coefficient multiplying the derivative terms, but for ease of the numerics this has been chosen as unity. The coefficient (1-ic3) of the first term on the right hand side is chosen to make the appearance of the dynamics more consistent with our intuition on wave propagation - this coefficient can be changed arbitrarily by multiplying A by exp(ift) for some f.

Plot type 1 shows the magnitude of the complex field is plotted on a gray scale minimum-maximum = black-white.
Plot type 2 shows the phase angle plotted on a "rainbow" color plot 0-90-180-270-360 = red-yellow-green-blue-red.

Last modified Monday, May 08, 2000
Michael Cross