On the effects of random time in dynamical systems

Guy Jumarie (Department of Mathematics, University of Quebec at Montréal, Montréal, Canada)

Kybernetes

ISSN: 0368-492X

Publication date: 1 December 2000

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.

Keywords

Citation

Jumarie, G. (2000), "On the effects of random time in dynamical systems", Kybernetes, Vol. 29 No. 9/10, pp. 1264-1271. https://doi.org/10.1108/03684920010346329

Download as .RIS

Publisher

:

MCB UP Ltd

Copyright © 2000, MCB UP Limited

Please note you might not have access to this content

You may be able to access this content by login via Shibboleth, Open Athens or with your Emerald account.
If you would like to contact us about accessing this content, click the button and fill out the form.
To rent this content from Deepdyve, please click the button.