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2001•Journal of Shaanxi Normal UniversityRequires access

Judgment of center of a plane autonomous system

Wu-Sheng Wang

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Abstract

This paper first analyzes the characteristics of t he singular point of a plane autonomous system, and then proves that the singular point is not a center if the characteristic equation is satisfied some condition s and is probably a center if there is not real root in the characteristic equat ion, finally gives two judgment methods by which the singular point is judged a center.

About this research paper

What this paper is about

This paper first analyzes the characteristics of t he singular point of a plane autonomous system, and then proves that the singular point is not a center if the characteristic equation is satisfied some condition s and is probably a center if there is not real root in the characteristic equat ion, finally gives two judgment methods by which the singular point is judged a center.

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Available abstract

This paper first analyzes the characteristics of t he singular point of a plane autonomous system, and then proves that the singular point is not a center if the characteristic equation is satisfied some condition s and is probably a center if there is not real root in the characteristic equat ion, finally gives two judgment methods by which the singular point is judged a center.

Key concepts: Singular point of a curve, Center (category theory), Plane (geometry), Point (geometry), Singular solution, Regular singular point, Mathematics, Root (linguistics)

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