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A probabilistic framework for understanding nonlinear dynamical systems in the Hilbert space

Record type: Conference or Workshop Item (Other)

This paper deals with the probabilistic description of a general a priori unknown linear/nonlinear dynamical physical system in an observer related coordinate system. The example of a point mass interacting with its environment and the corresponding relationship to the description of an observer are used as motivation. A probabilistic formulation follows, leading to a continuity equation for probability distributions over time. The last section then demonstrates how probability densities of the spatial coordinates of the point mass may be decomposed into functions which lead to probability distributions of the velocity of the point mass.

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Citation

Schilhabel, T.E. and Harris, C.J. (1997) A probabilistic framework for understanding nonlinear dynamical systems in the Hilbert space At Proceedings of the 12th International Conference on Systems Engineering ICSE'97.

More information

Published date: September 1997
Additional Information: Organisation: Coventry University
Venue - Dates: Proceedings of the 12th International Conference on Systems Engineering ICSE'97, 1997-09-01
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 250006
URI: http://eprints.soton.ac.uk/id/eprint/250006
PURE UUID: 22d3bd0f-048d-41af-9524-417ab6a634d5

Catalogue record

Date deposited: 04 May 1999
Last modified: 18 Jul 2017 10:44

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Contributors

Author: T.E. Schilhabel
Author: C.J. Harris

University divisions


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