R. E. Beardmore
The flow of a DAE near a singular equilibrium
Beardmore, R. E.; Laister, Robert
Abstract
We extend the differential-algebraic equation (DAE) taxonomy by assuming that the linearization of a DAE about a singular equilibrium has a particular index-2 Kronecker normal form. A Lyapunov-Schmidt procedure is used to reduce the DAE to a quasilinear normal form which is shown to posses quasi-invariant manifolds which intersect the singularity. In turn, this provides solutions of the DAE which pass through the singularity.
| Journal Article Type | Article |
|---|---|
| Publication Date | Jan 1, 2003 |
| Journal | SIAM Journal on Matrix Analysis and Applications |
| Print ISSN | 0895-4798 |
| Electronic ISSN | 1095-7162 |
| Publisher | Society for Industrial and Applied Mathematics |
| Peer Reviewed | Peer Reviewed |
| Volume | 24 |
| Issue | 1 |
| Pages | 106-120 |
| DOI | https://doi.org/10.1137/S0895479800378660 |
| Keywords | differential algebraic equations, invariant manifold, singular equilibrium, matrix pencil |
| Public URL | https://uwe-repository.worktribe.com/output/1037620 |
| Publisher URL | http://dx.doi.org/10.1137/S0895479800378660 |
You might also like
Convergence to equilibrium in degenerate parabolic equations with delay
(2013)
Journal Article
Downloadable Citations
About UWE Bristol Research Repository
Administrator e-mail: repository@uwe.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search