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2006•Journal of Hunan University of Science & TechnologyRequires access

The existence and uniqueness of a class of odd differential system

TU Guang-ming

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Abstract

In this paper,the system dx/dy=-y(1-ax~n)(1-bxn)+δx-lx~(21+) dy/dt=x(1-ax~n)(1-bx~n) was analysed qualitatively.A series of sufficient conditions of the existence,nonexistence and uniqueness of limit cycle were obtained by using segment without contact,the theory of rotating vector field and N.Levinson-O.K.Smith theorem.12refs.

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What this paper is about

In this paper,the system dx/dy=-y(1-ax~n)(1-bxn)+δx-lx~(21+) dy/dt=x(1-ax~n)(1-bx~n) was analysed qualitatively.A series of sufficient conditions of the existence,nonexistence and uniqueness of limit cycle were obtained by using segment without contact,the theory of rotating vector field and N.Levinson-O.K.Smith theorem.12refs.

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Available abstract

In this paper,the system dx/dy=-y(1-ax~n)(1-bxn)+δx-lx~(21+) dy/dt=x(1-ax~n)(1-bx~n) was analysed qualitatively.A series of sufficient conditions of the existence,nonexistence and uniqueness of limit cycle were obtained by using segment without contact,the theory of rotating vector field and N.Levinson-O.K.Smith theorem.12refs.

Key concepts: Uniqueness, Limit cycle, Series (stratigraphy), Mathematics, Class (philosophy), Limit (mathematics), Uniqueness theorem for Poisson's equation, Mathematical physics

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