Persistence of the saddle-node bifurcation for nonlinear systems with slow unmodeled dynamics
type: Item
instance of: scholarly article
title: Persistence of the saddle-node bifurcation for nonlinear systems with slow unmodeled dynamics
zbMATH Open document ID: 0797.58062
DOI: 10.1007/BF01188093
author: Lazhar Fekih-Ahmed
author: Hsiao-Dong Chiang
published in: Circuits, Systems, and Signal Processing
publication date: 1994-01-19T00:00:00Z
review text: The authors study the persistence of a generic saddle-node bifurcation under the addition of slowly varying state variables (so-called ``unmodeled dynamics''). It is well-known that the saddle-node is robust under the addition of supplementary parameters (not varying in time). The paper gives (rather restrictive) conditions on the unmodeled dynamics which also imply the persistence of a saddle-node bifurcation under slowly varying perturbations. Several examples are given, in particular one involving a tree-bus power system consisting of a load supplied by two generators.
Mathematics Subject Classification ID: 37G99
Mathematics Subject Classification ID: 94C99
zbMATH DE Number: 488304
zbMATH Keywords: robustness
zbMATH Keywords: saddle-node bifurcation
zbMATH Keywords: power system
reviewed by: A. Vanderbauwhede
MaRDI profile type: Publication
cites work: Towards a theory of voltage collapse in electric power systems
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full work available at URL: https://doi.org/10.1007/bf01188093
OpenAlex ID: W1967504243
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description: scientific article; zbMATH DE number 488304