Versal unfoldings for linear retarded functional differential equations
| dc.creator | Buono, Pietro-Luciano | |
| dc.creator | LeBlanc, Victor G. | |
| dc.date | 2002-08-20 | |
| dc.date.accessioned | 2026-07-07T04:50:18Z | |
| dc.date.available | 2026-07-07T04:50:18Z | |
| dc.description | We consider parametrized families of linear retarded functional differential equations (RFDEs) projected onto finite-dimensional invariant manifolds, and address the question of versality of the resulting parametrized family of linear ordinary differential equations. A sufficient criterion for versality is given in terms of readily computable quantities. In the case where the unfolding is not versal, we show how to construct a perturbation of the original linear RFDE (in terms of delay differential operators) whose finite-dimensional projection generates a versal unfolding. We illustrate the theory with several examples, and comment on the applicability of these results to bifurcation analyses of nonlinear RFDEs. | |
| dc.identifier | https://arxiv.org/abs/math/0208143 | |
| dc.identifier | http://arxiv.org/abs/math/0208143 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64742 | |
| dc.subject | Dynamical Systems | |
| dc.title | Versal unfoldings for linear retarded functional differential equations | |
| dc.type | text |