A Necessary and Sufficient Condition for the Existence of Parabolic Separatrix Cycles in a Quadratic System
  
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Shen Boqian Liaoning Normal University
Dalian 
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Abstract:
      In this paper . we obtained a necessary and sufficient condition for the existence of parabolic separatrix cycles in a quadratic system, and drawed its all possible phase-portraits. Further we obtain an accurate parameter interval that a Ⅲ type system exist ltmit cycles.
Citation:
DOI:10.3770/j.issn:1000-341X.1991.03.024
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