On the effects of random time in dynamical systems

On the effects of random time in dynamical systems Analyzes the effects of internal random time in some dynamical systems. Assumes that this relative time is equal to the absolute time disturbed by an additive random term in the form of a Gaussian white noise, and it is shown that, as a result of the special properties of Brownian motion, it is recommended to use Taylor expansions up to the second order, in the approximations (whilst the first order is usually sufficient for deterministic systems). Examines the consequences of this property on the dynamical system. This analysis is more especially relevant to biological systems, and to dynamical systems involving human factors. It is well‐known, for instance, that the scale of time is not the same for senior citizens and teenagers. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Kybernetes Emerald Publishing

On the effects of random time in dynamical systems

Kybernetes, Volume 29 (9/10): 8 – Dec 1, 2000

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Publisher
Emerald Publishing
Copyright
Copyright © 2000 MCB UP Ltd. All rights reserved.
ISSN
0368-492X
DOI
10.1108/03684920010346329
Publisher site
See Article on Publisher Site

Abstract

Analyzes the effects of internal random time in some dynamical systems. Assumes that this relative time is equal to the absolute time disturbed by an additive random term in the form of a Gaussian white noise, and it is shown that, as a result of the special properties of Brownian motion, it is recommended to use Taylor expansions up to the second order, in the approximations (whilst the first order is usually sufficient for deterministic systems). Examines the consequences of this property on the dynamical system. This analysis is more especially relevant to biological systems, and to dynamical systems involving human factors. It is well‐known, for instance, that the scale of time is not the same for senior citizens and teenagers.

Journal

KybernetesEmerald Publishing

Published: Dec 1, 2000

Keywords: Cybernetics; Systems; Time

References

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