STABILITY AND BIFURCATION-ANALYSIS OF SYSTEMS DESCRIBED BY NONEXACT MODELS

Citation
O. Paladino et M. Ratto, STABILITY AND BIFURCATION-ANALYSIS OF SYSTEMS DESCRIBED BY NONEXACT MODELS, Mathematical and computer modelling, 24(4), 1996, pp. 43-55
Citations number
9
Categorie Soggetti
Mathematics,Mathematics,"Computer Science Interdisciplinary Applications","Computer Science Software Graphycs Programming
ISSN journal
08957177
Volume
24
Issue
4
Year of publication
1996
Pages
43 - 55
Database
ISI
SICI code
0895-7177(1996)24:4<43:SABOSD>2.0.ZU;2-O
Abstract
In this paper, we propose a procedure to perform stability and bifurca tion analysis in case of model and parameters uncertainty. Monte Carlo methods are used to compute the sensitivity of the Hopf bifurcation l ocus and to detect the most probable stability regions. In this way, i t is possible to quantify the effects of uncertainty on the prediction s without a great amount of calculations. Advantages, in case of model s describing real processes and systems, are in terms of reliability, good design, and safety.