vmm.ode.firstorder2D
Class ODE1stOrder2D

java.lang.Object
  vmm.core.Exhibit
      vmm.ode.ODE_2D
          vmm.ode.firstorder2D.ODE1stOrder2D

All Implemented Interfaces:

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

Direct Known Subclasses:

HarmonicOscillator, Linear, ODE2ndOrder1D, Pendulum, UserODEFirstOrder2D, VanderPol, Volterra_Lotka

public abstract class ODE1stOrder2D
extends ODE_2D

Represents a simple vector field in two 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_2D

ODE_2D.ODEView

Field Summary

Fields inherited from class vmm.ode.ODE_2D

addAnimateCheckBoxToControlPanel, addLinesCheckBoxToControlPanel, addOrbitTypesToControlPanel, addProjectedOrbitsAction, canShowVectorField, dtDefault, initialDataDefault, inputLabelNames, isAutonomous, ORBIT_TYPE_BOTH, ORBIT_TYPE_EULER, ORBIT_TYPE_RUNGE_KUTTA, timeSpanDefault

Fields inherited from class vmm.core.Exhibit

decorations, exhibitNeedsRedraw, isMorphing, morphingView, parameters, previousTransform

Constructor Summary

ODE1stOrder2D()
Constructor sets the default background to be black

Method Summary

protected MouseTask	makeDefaultMouseTask(ODE_2D.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 double	vectorField_x(double x, double y, double t) Returns the x-component of the vector field at point (x,y) and time t.
protected double	vectorField_y(double x, double y, double t) Returns the x-component of the vector field at point (x,y) and time t.
protected abstract double	x1Prime(double x, double y) Defines the x1-component of the vector field.
protected abstract double	x2Prime(double x, double y) Defines the x2-component of the vector field.

Methods inherited from class vmm.ode.ODE_2D

doDraw, extractPointFromData, getCreateAnimation, getDefaultView

Methods inherited from class vmm.core.Exhibit

addChangeListener, addDecoration, addExtraXML, addParameter, addView, clearDecorations, computeDrawData, computeDrawDataHook, doDrawHook, fireExhibitChangeEvent, forceRedraw, getActionsForView, getAdditionalAnimationsForView, getAlternativeViews, getBuildAnimation, getDecorations, getDefaultBackground, getDefaultForeground, getDefaultTransform, 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

ODE1stOrder2D

public ODE1stOrder2D()

Constructor sets the default background to be black

Method Detail

x1Prime

protected abstract double x1Prime(double x,
                                  double y)

Defines the x1-component of the vector field.

x2Prime

protected abstract double x2Prime(double x,
                                  double y)

Defines the x2-component of the vector field.

vectorField_x

protected final double vectorField_x(double x,
                                     double y,
                                     double t)

Description copied from class: ODE_2D

Returns the x-component of the vector field at point (x,y) and time t. For autonomous ODEs, the result should be independent of t. The default implementation here simply returns 0. An exhibit that sets the ODE_2D.canShowVectorField propery to true should override this method to compute the correct value.

Overrides:

vectorField_x in class ODE_2D

vectorField_y

protected final double vectorField_y(double x,
                                     double y,
                                     double t)

Description copied from class: ODE_2D

Returns the x-component of the vector field at point (x,y) and time t. For autonomous ODEs, the result should be independent of t. The default implementation here simply returns 0. An exhibit that sets the ODE_2D.canShowVectorField propery to true should override this method to compute the correct value.

Overrides:

vectorField_y in class ODE_2D

nextEulerPoint

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

Description copied from class: ODE_2D

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_2D

nextRungeKuttaPoint

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

Description copied from class: ODE_2D

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_2D

makeDefaultMouseTask

protected MouseTask makeDefaultMouseTask(ODE_2D.ODEView view)

Description copied from class: ODE_2D

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 BasicMouseTask2D; subclasses can redefine this to add the ability to input the initial conditions with the mouse.

Overrides:

makeDefaultMouseTask in class ODE_2D