The Bifurcation Interpreter: A Step Towards the Automatic Analysis of Dynamical Systems
The Bifurcation Interpreter is a computer program that autonomously explores the steady-state orbits of one-parameter families of periodically- driven oscillators. To report its findings, the Interpreter generates schematic diagrams and English text descriptions similar to those appearing in t...
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Language: | en_US |
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2004
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Online Access: | http://hdl.handle.net/1721.1/6522 |
_version_ | 1811076033790607360 |
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author | Abelson, Harold |
author_facet | Abelson, Harold |
author_sort | Abelson, Harold |
collection | MIT |
description | The Bifurcation Interpreter is a computer program that autonomously explores the steady-state orbits of one-parameter families of periodically- driven oscillators. To report its findings, the Interpreter generates schematic diagrams and English text descriptions similar to those appearing in the science and engineering research literature. Given a system of equations as input, the Interpreter uses symbolic algebra to automatically generate numerical procedures that simulate the system. The Interpreter incorporates knowledge about dynamical systems theory, which it uses to guide the simulations, to interpret the results, and to minimize the effects of numerical error. |
first_indexed | 2024-09-23T10:15:03Z |
id | mit-1721.1/6522 |
institution | Massachusetts Institute of Technology |
language | en_US |
last_indexed | 2024-09-23T10:15:03Z |
publishDate | 2004 |
record_format | dspace |
spelling | mit-1721.1/65222019-04-12T08:31:23Z The Bifurcation Interpreter: A Step Towards the Automatic Analysis of Dynamical Systems Abelson, Harold The Bifurcation Interpreter is a computer program that autonomously explores the steady-state orbits of one-parameter families of periodically- driven oscillators. To report its findings, the Interpreter generates schematic diagrams and English text descriptions similar to those appearing in the science and engineering research literature. Given a system of equations as input, the Interpreter uses symbolic algebra to automatically generate numerical procedures that simulate the system. The Interpreter incorporates knowledge about dynamical systems theory, which it uses to guide the simulations, to interpret the results, and to minimize the effects of numerical error. 2004-10-04T15:14:35Z 2004-10-04T15:14:35Z 1989-09-01 AIM-1174 http://hdl.handle.net/1721.1/6522 en_US AIM-1174 5403237 bytes 2083674 bytes application/postscript application/pdf application/postscript application/pdf |
spellingShingle | Abelson, Harold The Bifurcation Interpreter: A Step Towards the Automatic Analysis of Dynamical Systems |
title | The Bifurcation Interpreter: A Step Towards the Automatic Analysis of Dynamical Systems |
title_full | The Bifurcation Interpreter: A Step Towards the Automatic Analysis of Dynamical Systems |
title_fullStr | The Bifurcation Interpreter: A Step Towards the Automatic Analysis of Dynamical Systems |
title_full_unstemmed | The Bifurcation Interpreter: A Step Towards the Automatic Analysis of Dynamical Systems |
title_short | The Bifurcation Interpreter: A Step Towards the Automatic Analysis of Dynamical Systems |
title_sort | bifurcation interpreter a step towards the automatic analysis of dynamical systems |
url | http://hdl.handle.net/1721.1/6522 |
work_keys_str_mv | AT abelsonharold thebifurcationinterpreterasteptowardstheautomaticanalysisofdynamicalsystems AT abelsonharold bifurcationinterpreterasteptowardstheautomaticanalysisofdynamicalsystems |