2008•Journal of Zhejiang Normal UniversityRequires access

Singular point quantities and center conditions at the infinity for a class of cubic polynomial system

Zhang Li

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Abstract

It was studied the center conditions at the equator of a class of cubic polynomial system with no singular point at the infinity based on the method of a homeomophic transformation of the infinity into the origin(linear singular point).The first 18 singular point quantities were computed by Mathematica.At the same time,the conditions for the infinity to be a center were derived respectively.

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It was studied the center conditions at the equator of a class of cubic polynomial system with no singular point at the infinity based on the method of a homeomophic transformation of the infinity into the origin(linear singular point).The first 18 singular point quantities were computed by Mathematica.At the same time,the conditions for the infinity to be a center were derived respectively.

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Available abstract

It was studied the center conditions at the equator of a class of cubic polynomial system with no singular point at the infinity based on the method of a homeomophic transformation of the infinity into the origin(linear singular point).The first 18 singular point quantities were computed by Mathematica.At the same time,the conditions for the infinity to be a center were derived respectively.

Key concepts: Singular point of a curve, Infinity, Center (category theory), Mathematics, Class (philosophy), Polynomial, Point (geometry), Mathematical analysis

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