KAM: Automatic Planning and Interpretation of Numerical Experiments Using Geometrical Methods
KAM is a computer program that can automatically plan, monitor, and interpret numerical experiments with Hamiltonian systems with two degrees of freedom. The program has recently helped solve an open problem in hydrodynamics. Unlike other approaches to qualitative reasoning about physical sys...
| Main Author: | |
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| Language: | en_US |
| Published: |
2004
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| Online Access: | http://hdl.handle.net/1721.1/7025 |
| _version_ | 1826189709551861760 |
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| author | Yip, Kenneth Man-Kam |
| author_facet | Yip, Kenneth Man-Kam |
| author_sort | Yip, Kenneth Man-Kam |
| collection | MIT |
| description | KAM is a computer program that can automatically plan, monitor, and interpret numerical experiments with Hamiltonian systems with two degrees of freedom. The program has recently helped solve an open problem in hydrodynamics. Unlike other approaches to qualitative reasoning about physical system dynamics, KAM embodies a significant amount of knowledge about nonlinear dynamics. KAM's ability to control numerical experiments arises from the fact that it not only produces pictures for us to see, but also looks at (sic---in its mind's eye) the pictures it draws to guide its own actions. KAM is organized in three semantic levels: orbit recognition, phase space searching, and parameter space searching. Within each level spatial properties and relationships that are not explicitly represented in the initial representation are extracted by applying three operations ---(1) aggregation, (2) partition, and (3) classification--- iteratively. |
| first_indexed | 2024-09-23T08:19:49Z |
| id | mit-1721.1/7025 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T08:19:49Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | mit-1721.1/70252019-04-09T17:59:47Z KAM: Automatic Planning and Interpretation of Numerical Experiments Using Geometrical Methods Yip, Kenneth Man-Kam KAM is a computer program that can automatically plan, monitor, and interpret numerical experiments with Hamiltonian systems with two degrees of freedom. The program has recently helped solve an open problem in hydrodynamics. Unlike other approaches to qualitative reasoning about physical system dynamics, KAM embodies a significant amount of knowledge about nonlinear dynamics. KAM's ability to control numerical experiments arises from the fact that it not only produces pictures for us to see, but also looks at (sic---in its mind's eye) the pictures it draws to guide its own actions. KAM is organized in three semantic levels: orbit recognition, phase space searching, and parameter space searching. Within each level spatial properties and relationships that are not explicitly represented in the initial representation are extracted by applying three operations ---(1) aggregation, (2) partition, and (3) classification--- iteratively. 2004-10-20T20:22:43Z 2004-10-20T20:22:43Z 1989-08-01 AITR-1163 http://hdl.handle.net/1721.1/7025 en_US AITR-1163 23999026 bytes 9402257 bytes application/postscript application/pdf application/postscript application/pdf |
| spellingShingle | Yip, Kenneth Man-Kam KAM: Automatic Planning and Interpretation of Numerical Experiments Using Geometrical Methods |
| title | KAM: Automatic Planning and Interpretation of Numerical Experiments Using Geometrical Methods |
| title_full | KAM: Automatic Planning and Interpretation of Numerical Experiments Using Geometrical Methods |
| title_fullStr | KAM: Automatic Planning and Interpretation of Numerical Experiments Using Geometrical Methods |
| title_full_unstemmed | KAM: Automatic Planning and Interpretation of Numerical Experiments Using Geometrical Methods |
| title_short | KAM: Automatic Planning and Interpretation of Numerical Experiments Using Geometrical Methods |
| title_sort | kam automatic planning and interpretation of numerical experiments using geometrical methods |
| url | http://hdl.handle.net/1721.1/7025 |
| work_keys_str_mv | AT yipkennethmankam kamautomaticplanningandinterpretationofnumericalexperimentsusinggeometricalmethods |