Some stochastic models for prediction and control in catastrophe theory
Some stochastic models for prediction and control in catastrophe theory
When a model from Catastrophe Theory has been built for a particular phenomenon stochastic perturbations should, in some cases, be taken into account, because sudden jumps may occur for values of the external parameters other than those in the catastrophe set of just because of the noise in the dynamics of the external parameters. This is the subject of chapters two and three.In some cases where a model has been built for a certain phenomenon it may occur that the singularities of the functions arising from that model are some of the elementary catastrophes. In such a case new insight may be gained by considerations of catastrophe theory. This is illustrated in chapter four. An account of the theory is given in chapter one and finally some possible applications for operational Research models are suggested in chapter five.
University of Southampton
Garcia-Cobain, Ramon Alfredo
1978
Garcia-Cobain, Ramon Alfredo
Garcia-Cobain, Ramon Alfredo
(1978)
Some stochastic models for prediction and control in catastrophe theory.
University of Southampton, Doctoral Thesis.
Record type:
Thesis
(Doctoral)
Abstract
When a model from Catastrophe Theory has been built for a particular phenomenon stochastic perturbations should, in some cases, be taken into account, because sudden jumps may occur for values of the external parameters other than those in the catastrophe set of just because of the noise in the dynamics of the external parameters. This is the subject of chapters two and three.In some cases where a model has been built for a certain phenomenon it may occur that the singularities of the functions arising from that model are some of the elementary catastrophes. In such a case new insight may be gained by considerations of catastrophe theory. This is illustrated in chapter four. An account of the theory is given in chapter one and finally some possible applications for operational Research models are suggested in chapter five.
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Published date: 1978
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Local EPrints ID: 460033
URI: http://eprints.soton.ac.uk/id/eprint/460033
PURE UUID: 8d732913-ea44-4e54-95bb-9837a69c4dba
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Date deposited: 04 Jul 2022 17:44
Last modified: 04 Jul 2022 17:44
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Author:
Ramon Alfredo Garcia-Cobain
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