| ON SOME PROPERTIES OF LIENARD SYSTEMS |
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| 作者姓名： | 韩茂安 |
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| 作者单位： | HAN Mao-an (Department of Mathematics，Shanghai Jiaotong University，Shanghai 200030，P R China)(Communicated by DAI Shi-qiang) |
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| 基金项目： | theNationalNaturalScienceFoundationofChina ( 1 953 1 0 70 )，ShanghaiShu
GuangProject( 1 998) |
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| 摘 要： | ＩｎｔｒｏｄｕｃｔｉｏｎＣｏｎｓｉｄｅｒａｇｅｎｅｒａｌｉｚｅｄＬｉｅｎａｒｄｓｙｓｔｅｍｓｏｆｔｈｅｆｏｒｍ ｘ=ｈ(ｙ) -Ｆ(ｘ) , ｙ=-ｇ(ｘ) ,( 1 )ｗｈｅｒｅｔｈｅｆｕｎｃｔｉｏｎｓＦ ,ｇａｎｄｈａｒｅＬｉｐｓｃｈｉｔｚｃｏｎｔｉｎｕｏｕｓａｎｄｓａｔｉｓｆｙＦ( 0 ) =ｈ( 0 ) =0 ,ｘｇ(ｘ) >0 , ｘ≠ 0 . ( 2 )Ｔｈｅｒｅｈａｖｅｂｅｅｎｍａｎｙｓｔｕｄｉｅｓｆｏｒｌｏｃａｌａｎｄｇｌｏｂａｌｐｒｏｐｅｒｔｉｅｓｏｆｓｏｌｕｔｉｏｎｓｆｏｒｓｙｓｔｅｍ ( 1 ) ,ｓｅｅ1 -9] .ＳｅｔＣ+=(ｘ,ｙ)｜ｈ(ｙ…
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| 收稿时间： | 14 July 2000 |
On some properties of Lienard systems |
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| Han Mao-an Professor, Doctor.ON SOME PROPERTIES OF LIENARD SYSTEMS[J].Applied Mathematics and Mechanics(English Edition),2002,23(4):454-462. |
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| Authors: | Han Mao-an Professor Doctor |
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| Institution: | Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030, P R China |
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| 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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| Keywords: | Lienard system local property global property |
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