Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (4): 454-462.

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ON SOME PROPERTIES OF LIENARD SYSTEMS

HAN Mao-an   

  1. Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030, P.R.China
  • Received:2000-07-14 Revised:2001-12-21 Online:2002-04-18 Published:2002-04-18
  • Supported by:
    the National Natural Science Foundation of China (19531070);Shanghai Shu Guang Project (1998)

Abstract: Some sharp sufficient conditions for generalized Lienard systems to have positive or negative semi-orbits which do not cross the vertical isocline are given. Applications of the main results to some polynomial systems are also presented.

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