一类非线性系统极限环的存在性

Existence of the Limit Cycle for a Class of Nonlinear Systems

通过类比一般非线性系统的研究方法,运用Poincare-Bendixson环域定理,对一类Liénard系统极限环的存在性进行了研究,得到了系统极限环存在性定理,并给出了应用例子.

By analogying general research methods of the nonlinear systems and applying the Poincare-Bendixson ring region theorem, we have studied the existence of the limit cycles for a class of Liénard systems. We have also obtained the existence theorem of the limit cycle of the system and have given relevant examples.