Perturbation of Quadrics
نویسندگان
چکیده
The aim of this paper is to study what happens when a slight perturbation a ects the coe cients of a quadratic equation de ning a variety a quadric in R Structurally stable quadrics are those a small perturbation on the coe cients of the equation de ning them does not give rise to a di erent in some sense set of points In particular we characterize structurally stable quadrics and give the bifurcation diagrams of the non stable ones showing which quadrics meet all of their neighbourhoods when dealing with the a ne and metric equivalence relations This study can be applied to the case where a set of points which constitute the set of solutions of a problem is de ned by a quadratic equation whose coe cients are given with parameter uncertainty
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تاریخ انتشار 2007