vmm.ode.firstorder3D
Class ODE1stOrder3D

java.lang.Object
  vmm.core.Exhibit
      vmm.core3D.Exhibit3D
          vmm.ode.ODE_3D
              vmm.ode.firstorder3D.ODE1stOrder3D

All Implemented Interfaces:

java.util.EventListener, javax.swing.event.ChangeListener, Decorateable, Parameterizable

Direct Known Subclasses:

Linear, Lorenz, Rikitake, Rossler, UserODE1stOrder3D

public abstract class ODE1stOrder3D
extends ODE_3D

Represents a simple vector field in three dimensions, with the abilty to compute integral curves of the field. The user starts a curve by clicking the start point with the middle mouse button, or by clicking with the ALT key down (Option key on Mac). The most recently added integral curve is shown in green; older curves are in red. The green curve can be extended using the "Continue Orbit" command in the Action menu. A "Show Projeccted Orbits" command adds an auxiliary view at the bottom of the display where the x and y coordinates of the points on the green orbit are plotted.

Nested Class Summary

Nested classes/interfaces inherited from class vmm.ode.ODE_3D

ODE_3D.ODEView

Field Summary

Fields inherited from class vmm.ode.ODE_3D

addAnimateCheckBoxontrolPanel, addLinesCheckBoxontrolPanel, addOrbitTypesToControlPanel, anaglyphIsDefault, canShowVectorField, dtDefault, initialDataDefault, inputLabelNames, isAutonomous, ORBIT_TYPE_BOTH, ORBIT_TYPE_EULER, ORBIT_TYPE_RUNGE_KUTTA, showAxes, timeSpanDefault

Fields inherited from class vmm.core3D.Exhibit3D

defaultViewpoint, defaultViewUp, previousTransform3D

Fields inherited from class vmm.core.Exhibit

decorations, exhibitNeedsRedraw, isMorphing, morphingView, parameters, previousTransform

Constructor Summary

ODE1stOrder3D()

Method Summary

protected MouseTask	makeDefaultMouseTask(ODE_3D.ODEView view) Should construct and return a mouse task appropriate for this exhibit, to be used in the specified view.
protected void	nextEulerPoint(double[] pointData, double dt) Computes the next point on an integral curve, using Euler's method.
protected void	nextRungeKuttaPoint(double[] pointData, double dt) Computes the next point on an integral curve, using the Runge-Kutta method.
protected abstract double	xPrime(double x, double y, double z) Defines the x-component of the vector field.
protected abstract double	yPrime(double x, double y, double z) Defines the y-component of the vector field.
protected abstract double	zPrime(double x, double y, double z) Defines the z-component of the vector field.

Methods inherited from class vmm.ode.ODE_3D

doDraw, extractPointFromData, getCreateAnimation, getDefaultView, screenPointTo3DPoint, vectorField_x, vectorField_y

Methods inherited from class vmm.core3D.Exhibit3D

computeDrawData3D, computeDrawDataHook, doDraw3D, doDrawHook, getDefaultTransform, getDefaultViewpoint, getDefaultViewUp, setDefaultViewpoint, setDefaultViewUp

Methods inherited from class vmm.core.Exhibit

addChangeListener, addDecoration, addExtraXML, addParameter, addView, clearDecorations, computeDrawData, fireExhibitChangeEvent, forceRedraw, getActionsForView, getAdditionalAnimationsForView, getAlternativeViews, getBuildAnimation, getDecorations, getDefaultBackground, getDefaultForeground, getDefaultWindow, getFramesForMorphing, getMorphingAnimation, getName, getParameterByName, getParameters, getSettingsCommandsForView, getTitle, getUseFilmstripForMorphing, getViews, parameterChanged, readExtraXML, removeChangeListener, removeDecoration, removeParameter, removeView, render, setDefaultBackground, setDefaultForeground, setDefaultWindow, setDefaultWindow, setFramesForMorphing, setName, setUseFilmstripForMorphing, stateChanged

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

ODE1stOrder3D

public ODE1stOrder3D()

Method Detail

xPrime

protected abstract double xPrime(double x,
                                 double y,
                                 double z)

Defines the x-component of the vector field.

yPrime

protected abstract double yPrime(double x,
                                 double y,
                                 double z)

Defines the y-component of the vector field.

zPrime

protected abstract double zPrime(double x,
                                 double y,
                                 double z)

Defines the z-component of the vector field.

nextEulerPoint

protected void nextEulerPoint(double[] pointData,
                              double dt)

Description copied from class: ODE_3D

Computes the next point on an integral curve, using Euler's method. The pointData parameter array contains the data for the current point. This data should be replaced with the data for the next point. The size of the array and the meaning of the data that it contains will vary from one subclass to another. However, for non-autonomous ODEs, the time should always be the first parameter in the array. The second parameter, dt, gives the time step from the current point to the next point.

Specified by:

nextEulerPoint in class ODE_3D

nextRungeKuttaPoint

protected void nextRungeKuttaPoint(double[] pointData,
                                   double dt)

Description copied from class: ODE_3D

Computes the next point on an integral curve, using the Runge-Kutta method. The pointData parameter array contains the data for the current point. This data should be replaced with the data for the next point. The size of the array and the meaning of the data that it contains will vary from one subclass to another. But for the non-autonmous case, the time should always be the first value in the array. The second parameter, dt, gives the time step from the current point to the next point.

Specified by:

nextRungeKuttaPoint in class ODE_3D

makeDefaultMouseTask

protected MouseTask makeDefaultMouseTask(ODE_3D.ODEView view)

Description copied from class: ODE_3D

Should construct and return a mouse task appropriate for this exhibit, to be used in the specified view. The default return value is a standard BasicMouseTask3D; subclasses can redefine this to add the ability to input the initial conditions with the mouse.

Overrides:

makeDefaultMouseTask in class ODE_3D