Automatic Qualitative Analysis of Ordinary Differential Equations Using Piecewise Linear Approximations

This paper explores automating the qualitative analysis of physical systems. It describes a program, called PLR, that takes parameterized ordinary differential equations as input and produces a qualitative description of the solutions for all initial values. PLR approximates intractable nonlinear sy...

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Bibliographic Details
Main Author: Sacks, Elisha
Language:en_US
Published: 2004
Subjects:
Online Access:http://hdl.handle.net/1721.1/6840