Liénard方程极限环的位置估计和无环的充分条件

On THE LOCATION AND INEXISTENCE OF LIMIT CYCLES FOR LIENARD EQUATIONS

  • 摘要: 本文讨论Liénard方程极限环的位置问题,根据函数F(z)的性态给出了位置估计。在此基础上得到了若干无环的充分条件。作为应用,探讨了平面四次系统的无环条件。

     

    Abstract: This paper deals with the locations of limit cycles for Lienard equations and gives some estimates for them according to the behaviour of functions Fi(z-). Consequently some sufficiency conditions are given for the inexistence of limit cycle.

     

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