Interactive Differential Equations
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main>The Lorenz Equations>Lorenz Equations: Phase Plane 0<r<30

 

How to use the Lorenz Equation: Phase Plane 0<r<30 Tool

Setting Initial Conditions

  • Click the mouse on the phase plane to set the initial conditions for a trajectory.

Parameter Slider

  • Use the slider to set the value of the Rayleigh constant r.
  • Press the mouse down on the slider knob and drag the mouse back and forth, or click the mouse in the slider channel at the desired value for the parameter.

Buttons

  • [Clear] removes all the trajectories from the graphs.
  • [Clear Transients] removes all transient data without disrupting the active trajectory.
  • [Pause] stops a trajectory without canceling it.
  • [Continue] resumes the motion of the paused trajectory.
  • [XY] selects the xy phase plane.
  • [XZ] selects the xz phase plane.
  • [YZ] selects the yz phase plane.
  • The time series selection boxes
    [x] x
    [x] y
    [x] z
    turn the time series graphs on and off.

 

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