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2002•Unpublished venueRequires access

The Singular Point and Limit Cycle Bifurcation of the Origin for a Class of Cubic System

Qinlong Wang

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Abstract

According the theory of the singular point value and the calculating method, the highest singular point of the origin- 5th degree is obtained and proved for a class of cubic system.The problems of stability and integral condition of the origin are also solved.At the same time,the function of limit cycle bifurcation and the specific form with 5 cycles are created.

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What this paper is about

According the theory of the singular point value and the calculating method, the highest singular point of the origin- 5th degree is obtained and proved for a class of cubic system.The problems of stability and integral condition of the origin are also solved.At the same time,the function of limit cycle bifurcation and the specific form with 5 cycles are created.

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Available abstract

According the theory of the singular point value and the calculating method, the highest singular point of the origin- 5th degree is obtained and proved for a class of cubic system.The problems of stability and integral condition of the origin are also solved.At the same time,the function of limit cycle bifurcation and the specific form with 5 cycles are created.

Key concepts: Limit cycle, Singular point of a curve, Mathematics, Infinite-period bifurcation, Bifurcation, Bifurcation theory, Singular solution, Limit (mathematics)

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