On the effects of random time in dynamical systems-Reference-Cited by-同舟云学术

On the effects of random time in dynamical systems

Published:2000-12-01 Issue:9/10 Volume:29 Page:1264-1271
ISSN:0368-492X
Container-title:Kybernetes
language:en
Short-container-title:

Author:

Jumarie Guy

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.

Publisher

Emerald

Subject

Computer Science (miscellaneous),Social Sciences (miscellaneous),Theoretical Computer Science,Control and Systems Engineering,Engineering (miscellaneous)

Reference5 articles.

1. Diamantides, N.D. (1994), “International migration as a dynamical process”, Kybernetes, Vol. 23, No. 5, pp. 37‐56.

2. Haken, H. (1990), Information and Self‐Organization. A Macroscopic Approach to Complex Systems, Springer Verlag, Berlin.

3. Levy, P. (1965), Stochastic Processes and Brownian Motion (in French), Gauthiers Villars, Paris.

4. Mitropolsky, Y.A. (1966), Problems in the Asymptotic Theory of Non‐Stationary Oscillations (in French), Gauthier Villars, Paris

5. Thompson, J.M.T. and Stewart, H.B. (1989), Nonlinear Dynamics and Chaos, John Wiley, New York, NY.

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