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The Real Period Function of A3 Singularity and Perturbations of the Spherical Pendulum
Published online by Cambridge University Press: 04 December 2007
Abstract
We prove that the Hessian matrix of the real period function ψ(λ) associated with the real versal deformation fλ(x)=±x4+λ2x2+λ1x+λ0 of a singularity of type A3, is nondegenerate, provided that λ∈${\Bbb R}$3 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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- © 2000 Kluwer Academic Publishers
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