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Proceedings Paper

Visual workbench for analyzing the behavior of dynamical systems
Author(s): Peter Cahoon
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Paper Abstract

A collection of numerical, visual, and symbolic methods were combined in order to provide interactive, intelligent analysis of dynamical systems and the geometry of their behaviors. The analysis system deals specifically with the topics of continuation and bifurcation encountered in the solution of non-linear ordinary differential equations and certain types of boundary value problems. This system serves as a workbench composed of several modular features. A graphical interface to the continuation software is used to investigate the range of general branching behaviors. Trajectories of particular interest are then read into a vector field visualizer for further analysis. On-line help and general system inquires are implemented using a non-monotonic reasoner. The volumetric visualizations of these fields can be interactively viewed and then rendered using ray tracing software. The individual frames are then recorded on video tape and played back in an animated sequence. The workbench provides a complete environment for the analysis of most aspects of the geometry of dynamical system behavior.

Paper Details

Date Published: 1 June 1991
PDF: 10 pages
Proc. SPIE 1459, Extracting Meaning from Complex Data: Processing, Display, Interaction II, (1 June 1991); doi: 10.1117/12.44400
Show Author Affiliations
Peter Cahoon, Univ. of British Columbia (Canada)

Published in SPIE Proceedings Vol. 1459:
Extracting Meaning from Complex Data: Processing, Display, Interaction II
Edward J. Farrell, Editor(s)

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