Gumowski/Mira Pseudo-Soundwave

[SWF(width = 600, height = 600)]
var a:Number = 0.02;
var b:Number = .9998;
 
var xn1:Number = 5;
var yn1:Number = 0;
var xn:Number, yn:Number;
 
var scale:Number = 10;
var iterations:Number = 20000;
var step:Number = stage.stageWidth / iterations;

function f(x:Number):Number{
    var x2:Number = x * x;
    return a * x + (2 * (1 - a) * x2) / (1 + x2);
}

var canvas:BitmapData = Bitmap(addChild(new Bitmap(new BitmapData(600,600,false,0xEFEFEF)))).bitmapData;

var circle = new Sprite();
with(circle.graphics) beginFill(0, 0.3), drawCircle(2,2,1);

var dot:BitmapData = new BitmapData(4,4,true, 0x00000000);
dot.draw(circle);

var pnt:Point = new Point();

var txt:TextField = TextField(addChild(new TextField()));
txt.text = "move mouse";
                                                      
addEventListener(Event.ENTER_FRAME, onLoop);
function onLoop(evt:Event):void {
   
    canvas.fillRect(canvas.rect, 0xEFEFEF);

    a = mouseY / 1000;
    xn1 = mouseX / 30;
    yn1 = 0;
    for (var i:int = 0; i<iterations; i++){
          xn = xn1;
          yn = yn1;
         
          xn1 = b * yn + f(xn);
          yn1 =  -xn + f(xn1);
		  pnt.x = i * step;
		  pnt.y = 300 + yn1 * scale;
		  canvas.copyPixels(dot, dot.rect, pnt, null, null, true);
		
    }
}

Try it out:

Gumowski Mira Pseudo-soundwave – wonderfl build flash online