The Limit Cycle of Dynamic System with Gaps
  
Key Words: Fillipov solution   state function   characteristic point   limit cycle.  
Fund Project:
Author NameAffiliation
Wu Huanqin Dalian Naval Academy
116018 
Li Li Beijing Polytechnic University 
Chen Xiudong Dalian University of Technology
116024 
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Abstract:
      This work is about the existence of the limit cycle of equation x+f(x)+g(x)=0, where g(x) has two discontinuous points and does not satisfy g(x)·x>0,x≠0 . We use the concept of Fillipov solution defined in 4,5 and get several theorems of existence of limit cycle.
Citation:
DOI:10.3770/j.issn:1000-341X.1997.02.030
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