Automating analysis of qualitative behaviors of ordinary differential equations

Toyoaki Nishida

doi:10.1117/12.167525

1 March 1994 Automating analysis of qualitative behaviors of ordinary differential equations

Toyoaki Nishida

Author Affiliations +

Proceedings Volume 2037, Chaos/Nonlinear Dynamics: Methods and Commercialization; (1994) https://doi.org/10.1117/12.167525
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

Abstract

The purpose of the PSX project is to develop a computer program that can autonomously carry out qualitative analysis of systems of ordinary differential equations. The central issue in analysis automation is the development of a computational theory for dynamical systems analysis. In this paper, I focus on integrating qualitative and quantitative methods so that a computer program can automatically make high-level decisions and derive abstract information by intelligently controlling numerical and symbolic computation. I survey technical results obtained in the PSX project and describe the current status, highlighting intelligent techniques for controlling numerical computation.

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Toyoaki Nishida "Automating analysis of qualitative behaviors of ordinary differential equations", Proc. SPIE 2037, Chaos/Nonlinear Dynamics: Methods and Commercialization, (1 March 1994); https://doi.org/10.1117/12.167525

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