2002Journal of Mathematics and TechnologyRequires access

The Uniqueness of Limit Cycle for 2n+1 Order Planar System

Zhuo Xiang-lai

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Abstract

In this paper, the different equation dx/dt=-y(1-ax~ 2n )+bx-cx~ 2n+1 , dy/dt=x(1-ax~ 2n ) was studied, and some condition were obtained to guarantee the existence and uniqueness of limit cycle for the given system .

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What this paper is about

In this paper, the different equation dx/dt=-y(1-ax~ 2n )+bx-cx~ 2n+1 , dy/dt=x(1-ax~ 2n ) was studied, and some condition were obtained to guarantee the existence and uniqueness of limit cycle for the given system .

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Available abstract

In this paper, the different equation dx/dt=-y(1-ax~ 2n )+bx-cx~ 2n+1 , dy/dt=x(1-ax~ 2n ) was studied, and some condition were obtained to guarantee the existence and uniqueness of limit cycle for the given system .

Key concepts: Mathematics, Uniqueness, Limit cycle, Limit (mathematics), Planar, Order (exchange), Mathematical analysis, Pure mathematics

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