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2007•Journal of Hunan UniversityRequires access

Center Conditions at the Infinity for a Class of Cubic System

Xuejun Yi

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Abstract

This paper studied the center conditions at the equator for a class of cubic polynomial system with no singular point at the infinity.By converting the real planar system into the complex system,the recursion formula for the computation of singular point quantities were given,and,with computer algebra system Mathematica,the first 7 singular point quantities were deduced.At the same time,the conditions for the infinity to be a center were derived respectively.

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What this paper is about

This paper studied the center conditions at the equator for a class of cubic polynomial system with no singular point at the infinity.By converting the real planar system into the complex system,the recursion formula for the computation of singular point quantities were given,and,with computer algebra system Mathematica,the first 7 singular point quantities were deduced.At the same time,the conditions for the infinity to be a center were derived respectively.

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Available abstract

This paper studied the center conditions at the equator for a class of cubic polynomial system with no singular point at the infinity.By converting the real planar system into the complex system,the recursion formula for the computation of singular point quantities were given,and,with computer algebra system Mathematica,the first 7 singular point quantities were deduced.At the same time,the conditions for the infinity to be a center were derived respectively.

Key concepts: Infinity, Singular point of a curve, Recursion (computer science), Center (category theory), Mathematics, Computation, Point (geometry), Class (philosophy)

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