$\Gamma-\Sigma-C^{0}-$determinacy of $\Gamma-\Sigma-C^{0}-$equivariant bifurcation problems with respect to $\Gamma-\Sigma-C^{0}-$BD and contact equivalence from the weighted point view

Suhui Liu; Hengxing Liu

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arXiv · 2108.12561

$\Gamma-\Sigma-C^{0}-$determinacy of $\Gamma-\Sigma-C^{0}-$equivariant bifurcation problems with respect to $\Gamma-\Sigma-C^{0}-$BD and contact equivalence from the weighted point view

Suhui Liu·Hengxing Liu

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Abstract

In this paper, $C^{0}$ finite determination of $\Gamma-$equivariant bifurcation problems in the relative case from the weighted point view is being discussed . Some criteria on the $C^{0}$ finite determination of $\Gamma-$equi-variant bifurcation problems in the relative case are then obtained in terms of an analytic-geometric non-degeneracy condition, which generalize the result on the $C^{0}$ finite determination of bifurcation problems given by P.B.Percell and P.N.Brown.

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Suhui Liu, Hengxing Liu. 2021-08-28. $\Gamma-\Sigma-C^{0}-$determinacy of $\Gamma-\Sigma-C^{0}-$equivariant bifurcation problems with respect to $\Gamma-\Sigma-C^{0}-$BD and contact equivalence from the weighted point view. https://arxiv.org/abs/2108.12561

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