KAM: Automatic Planning and Interpretation of Numerical Experiments Using Geometrical Methods

Title: en_US KAM: Automatic Planning and Interpretation of Numerical Experiments Using Geometrical Methods
Creator: en_US Yip, Kenneth Man-Kam
Date: 2004-10-20T20:22:43Z
Date Available: 2004-10-20T20:22:43Z
Date Issued: en_US 1989-08-01
Identifier: en_US AITR-1163
uri: http://hdl.handle.net/1721.1/7025
Abstract: en_US 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.
Extent: 23999026 bytes; 9402257 bytes
Format: application/postscript; application/pdf
Language: en_US
Relation: en_US AITR-1163