Huang An-ji, Cao Deng-qing. On the Existence of Limit Cycles of Liénard Equation[J]. Applied Mathematics and Mechanics, 1990, 11(2): 119-130.
Citation: Huang An-ji, Cao Deng-qing. On the Existence of Limit Cycles of Liénard Equation[J]. Applied Mathematics and Mechanics, 1990, 11(2): 119-130.

On the Existence of Limit Cycles of Liénard Equation

  • Received Date: 1988-07-25
  • Publish Date: 1990-02-15
  • In this paper,we have proved several theorems which guarantee that the Liénard equation has at least one or n limit cycles without using the traditional assumption G(±∞)=+∞ Thus some results in [3-5] are extended.The limit cycles can be located by our theorems.Theorems 3 and 4 give sufficient conditions for the existence of n limit cycles having no need of the conditions that the function F(x) is odd or "nth order compatible with each other" or "nth order contained in each other".
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