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Normal Forms for Coupled Takens-Bogdanov Systems
(Taylor & Francis, 2004)
The set of systems of differential equations that are in normal form with respect to a particular linear part has the structure of a module of equivariants, and is best described by giving a Stanley decomposition of that ...
An improved theory of asymptotic unfoldings
(Elsevier, 2009-08-01)
An asymptotic unfolding of a dynamical system near a rest point is a system with additional parameters, such that every one-parameter deformation of the original system can be embedded in the unfolding preserving all ...