A Sufficient Condition for Lienard's Equation Existing at Most n Limit Cycles
Received:February 07, 2001  
Key Words: limit cycle   state function  
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Author NameAffiliation
CHEN Xiu-dong Dept. of Appl. Math.
Dalian University of Technology
Liaoning
China 
CHEN Yong Dept. of Appl. Math.
Dalian University of Technology
Liaoning
China 
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Abstract:
      In this paper, based on the concept of state function [7,8], the study of limit cycle existence is transformed to the study of zero points of continuous function. As a result, we obtain a sufficient condition for Lienard's equation existing at most n limit cycles and give an affirmative answer to Lins, A. , W. de Melo and C. C. Pugh's conjecture.
Citation:
DOI:10.3770/j.issn:1000-341X.2003.02.026
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