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Journal Articles Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Year : 1999

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.
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L. Le Sceller, Christophe Letellier, G. Gouesbet. Structure selection for global vector field reconstruction by using the identification of fixed points. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 1999, 60 (2 B), pp.1600-1606. ⟨10.1103/PhysRevE.60.1600⟩. ⟨hal-01596829⟩
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