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- W2951153554 abstract "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." @default.
- W2951153554 created "2019-06-27" @default.
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- W2951153554 date "2002-08-20" @default.
- W2951153554 modified "2023-10-01" @default.
- W2951153554 title "Versal unfoldings for linear retarded functional differential equations" @default.
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