2005Unpublished venueRequires access

Limit Cycle Bifurcation of the Origin for A Class of Plane Fifth Polynomial System

Qing-Long Wang

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Abstract

The problem concerning the origin of limit cycle branch of a class of plane fifth system is studied,the singular point value of the first 12 orders is calculated.The conditions for the 5 limit cycle coefficients near the origin are obtained,the position where the limit cycle exists is pointed out.

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What this paper is about

The problem concerning the origin of limit cycle branch of a class of plane fifth system is studied,the singular point value of the first 12 orders is calculated.The conditions for the 5 limit cycle coefficients near the origin are obtained,the position where the limit cycle exists is pointed out.

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Available abstract

The problem concerning the origin of limit cycle branch of a class of plane fifth system is studied,the singular point value of the first 12 orders is calculated.The conditions for the 5 limit cycle coefficients near the origin are obtained,the position where the limit cycle exists is pointed out.

Key concepts: Limit cycle, Mathematics, Infinite-period bifurcation, Limit (mathematics), Singular point of a curve, Plane (geometry), Bifurcation, Mathematical analysis

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