The Real Period Function of A3 Singularity and Perturbations of the Spherical Pendulum

Wiley - 2000
Lubomir Gavrilov1, Olivier Vivolo1
1Laboratoire Emile Picard, UMR 5580, Université Paul Sabatier, Toulouse Cedex, France

Tóm tắt

We prove that the Hessian matrix of the real period function ψ(λ) associated with the real versal deformation f λ(x)=±x 4+λ2 x 2+λ1 x+λ0 of a singularity of type A 3, is nondegenerate, provided that λεℝ3 does not belong to the discriminant set of the singularity. We explain the relation between this result and the perturbations of the spherical pendulum.

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Tài liệu tham khảo

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