Henon Map with Damping

Choose a value for the tune Q, for the sextupole strength b2, and for the "damping decrement" D, which simulates the effects of synchrotron radiation (in the range 0.0001 to 0.01). Finally, enter the number of iterations. Hit return to make the number appear on the button that intially says "0 more".

Then click the mouse in the window where you would like to launch a test particle. You may repeat this step several times. When the damping is turned on (at a small enough level), any resonance islands that were present turn into "attractors" - particles enter, but they do not leave!. The following equations are used to generate the motion: 

 
	until done {
		Rotate (x,x') by 2*pi*Q
		x'  =  x' - b2*x2

		x  =  x  * (1 - D)
		x' =  x' * (1 - D)
	}
For example, you might want to try Q = .252, b2 = 1.0, with 300 iterations and D = 0 or 0.01.

Take a look at some other maps: Last modified: Wed Nov 12 14:43:04 EST