The Lorenz Attractor


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Instructions

Click anywhere in the top panel to start a fresh attractor. The time series is a projection of the y-axis of this panel. The bottom right panel shows the 2d shadow of the first three dimensions of a seven dimensional time-delayed reconstruction of this attractor. When the reconstruction has 1000 points we can use this to predict the main attractor (press the predict button when it lights up). At any point you can clear the series, reset the attractor or pause.
sigma, r and b are Lorenz parameters and you can change teh time delay and dimensions of the reconstructed attractor (since you only see three dimensions tthe number of dimenstions will not affect the attractor appearance). The Steps parameter affects how far ahead prediction is made.
Rotating the top attractor changes the appearance of the time series since the time series is created from a y-axis in the direction the user is viewing. (Zooming doesn't affect the time series produced).