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https://hdl.handle.net/2440/614
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Type: | Journal article |
Title: | A philosophy for the modelling of realistic nonlinear systems |
Author: | Howlett, P. Torokhti, A. Pearce, C. |
Citation: | Proceedings of the American Mathematical Society, 2003; 132(2):353-363 |
Publisher: | Amer Mathematical Soc |
Issue Date: | 2003 |
ISSN: | 0002-9939 1088-6826 |
Statement of Responsibility: | Phil Howlett, Anatoli Torokhti, Charles Pearce |
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. |
Keywords: | Operator approximation realistic nonlinear systems |
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 |
DOI: | 10.1090/S0002-9939-03-07164-8 |
Published version: | http://www.ams.org/proc/2004-132-02/S0002-9939-03-07164-8/home.html |
Appears in Collections: | Applied Mathematics publications Aurora harvest |
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