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The Multiple Orbits Panel

Panel title:
Multiple Orbits
Function:
This panel allows the user to select a set of points centered around the point in the Selected Point Window. This allows numerical routines to have a set of initial conditions rather than simply a single point.
Description:
The Multiple Orbits Panel is opened by selecting the Multiple Panel menu item located on the Panels menu on the Command Window. The user selects a region of the product of the phase space and parameter space. The size of this region is determined by the size field for that variable or parameter. The region is centered around the point specified in the Selected Point Window. The method by which points in this region are selected depends on the load option. When set to Rectangle, then the points will form only the outline of a rectangle in two dimensions. The two dimensions selected will be the first two coordinates in the list with the Number of Points specified greater than 1. If there is only one coordinate with Number of Points greater than 1, then the a line segment is selected. If all the Number of Points fields are set to 1, then only the point specified in the Selected Point Window is selected. When set to Region, then a ``box'', including its interior, is selected the dimension of the box depends on the number of coordinates which have Number of Points specifed greater than 1. In either case, the lengths of each coordinate edge of the selected region will be twice the value in the Size field. This field should be thought of as expressing the radius of the region in each coordinate dimension. Each edge is discretized by the Number of Points value specified for that coordinate. The result is a grid of points (or outline of a rectangle) which make up a set of selected points. In the case when a region is selected, then the total number of points will be the product of the values in the Number of Points fields. If a transfomation other than Identity is selected, then each of these points will be passed through this filter. Transformations may be defined so that these initial conditions can be projected onto some submanifold of the whole space or to create arrays of points which are not in the form of a ``box''.

Initial multiple points may also be loaded by using the mouse interface. Dragging the Ctrl-Select mouse button in a TwoD View Window will draw a rectangle in the viewing canvas. Upon release of the mouse button, a notice will appear allowing the user several choices. The selections are Forwards, Backwards, and Cancel. If the user selects Forwards or Backwards, then the selected point as displayed in the Selected Point Window is updated as if the user had selected the center point of the rectangle. The Size fields on the Multiple Panel of the coordinates in the TwoD View Window are updated to reflect the size of the user selected box. Then a set of points are loaded and trajectories are computed, either forwards or backwards as selected. If the user had selected Cancel, then no action is taken.

Panel items:


next up previous contents
Next: The Function Settings Window Up: Attributes of Interface Windows Previous: The Selected Point Window   Contents
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1998-11-02