Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/614
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Full metadata record
DC Field | Value | Language |
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dc.contributor.author | Howlett, P. | - |
dc.contributor.author | Torokhti, A. | - |
dc.contributor.author | Pearce, C. | - |
dc.date.issued | 2003 | - |
dc.identifier.citation | Proceedings of the American Mathematical Society, 2003; 132(2):353-363 | - |
dc.identifier.issn | 0002-9939 | - |
dc.identifier.issn | 1088-6826 | - |
dc.identifier.uri | http://hdl.handle.net/2440/614 | - |
dc.description | First published in Proceedings of the American Mathematical Society in volume 132, number 2, by the American Mathematical Society Copyright © 2003 American Mathematical Society | - |
dc.description.abstract | A nonlinear dynamical system is modelled as a nonlinear mapping from a set of input signals into a corresponding set of output signals. Each signal is specified by a set of real number parameters, but such sets may be uncountably infinite. For numerical simulation of the system each signal must be represented by a finite parameter set and the mapping must be defined by a finite arithmetical process. Nevertheless the numerical simulation should be a good approximation to the mathematical model. We discuss the representation of realistic dynamical systems and establish a stable approximation theorem for numerical simulation of such systems. | - |
dc.description.statementofresponsibility | Phil Howlett, Anatoli Torokhti, Charles Pearce | - |
dc.language.iso | en | - |
dc.publisher | Amer Mathematical Soc | - |
dc.source.uri | http://www.ams.org/proc/2004-132-02/S0002-9939-03-07164-8/home.html | - |
dc.subject | Operator approximation | - |
dc.subject | realistic nonlinear systems | - |
dc.title | A philosophy for the modelling of realistic nonlinear systems | - |
dc.type | Journal article | - |
dc.identifier.doi | 10.1090/S0002-9939-03-07164-8 | - |
pubs.publication-status | Published | - |
Appears in Collections: | Applied Mathematics publications Aurora harvest |
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