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2014•Unpublished venueRequires access

The Center Conditions of a Degenerate Singularity on Center Manifold

MO Qing-me

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Abstract

In this paper,the center focus problem for a degenerate equilibrium of a three-dimensional system is investigated.By computing the singular point quantities,all center conditions on the center manifold are obtained.And more the sufficiency is proved.

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What this paper is about

In this paper,the center focus problem for a degenerate equilibrium of a three-dimensional system is investigated.By computing the singular point quantities,all center conditions on the center manifold are obtained.And more the sufficiency is proved.

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Available abstract

In this paper,the center focus problem for a degenerate equilibrium of a three-dimensional system is investigated.By computing the singular point quantities,all center conditions on the center manifold are obtained.And more the sufficiency is proved.

Key concepts: Center (category theory), Center manifold, Degenerate energy levels, Singularity, Point (geometry), Manifold (fluid mechanics), Singular point of a curve, Mathematics

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