title: Structure selection for global vector field reconstruction by using the identification of fixed points.
abstract: Global vector field reconstruction is a well established technique to provide phenomenological models from nonlinear data, in particular when all information is contained in a so-called standard function. In the case when the standard function is taken as a ratio of polynomials, we establish that information about the fixed points of the system can be automatically retrieved from the data, allowing one to build a better model by selecting an appropriate structure. The method is exemplified in the case of the variable z of the Rössler system, which constitutes a rather acid test case.
authors.affiliation: CORIA UMR CNRS 6614-LESP, Université et INSA de Rouen, Place Emile Blondel, Boîte Postale 08, 76131 Mont-Saint-Aignan Cedex, France.
authors.forename: L
authors.initials: L
authors.lastname: Le Sceller
authors.forename: C
authors.initials: C
authors.lastname: Letellier
authors.forename: G
authors.initials: G
authors.lastname: Gouesbet