| BIFURCATIONS OF SUBHARMONIC SOLUTIONS IN PERIODIC PERTURBATION OF A HYPERBOLIC LIMIT CYCLE |
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| 作者姓名： | 韩茂安 顾圣士 |
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| 作者单位： | HAN Mao_an，GU Sheng_shi (Department of Mathematics，Shanghai Jiaotong University，Shanghai 200030，P R China)(Communicated by LU Chuang_jing) |
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| 摘 要： | Ｃｏｎｓｉｄｅｒｐｌａｎａｒｐｅｒｉｏｄｉｃｐｅｒｔｕｒｂｅｄｓｙｓｔｅｍ ｘ=ｆ(ｘ) +εｇ(ｔ,ｘ,ε ,δ) , ｘ∈Ｒ2 ,( 1 )ｗｈｅｒｅε∈Ｒ ,δ∈Ｄ ＲｎｗｉｔｈＤｃｏｍｐａｃｔ,ａｎｄｆ,ｇａｒｅＣ3ｆｕｎｃｔｉｏｎｓａｎｄｇｉｓＴ＿ｐｅｒｉｏｄｉｃｉｎｔ,Ｔ >0 .Ｌｅｔｓｙｓｔｅｍ ( 1 )ｈａｓａｌｉｍｉｔｃｙｃｌｅＬ0 :ｘ =ｕ(ｔ) ,0 ≤ｔ≤Ｔ0 ｆｏｒε =0ｗｉｔｈＴ0 ｔｈｅｐｅｒｉｏｄｏｆＬ0 .ＳｕｐｐｏｓｅＴ0 /Ｔｉｓｒａｔｉｏｎａｌ,ｔｈａｔｉｓＴ0 /Ｔ=ｍ/ｋ, (ｍ ,ｋ) =1 . ( 2 )Ａｓｗｅｋｎｏ…
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| 收稿时间： | 25 November 2000 |
Bifurcations of subharmonic solutions in periodic perturbation of a hyperbolic limit cycle |
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| HAN Mao-an Professor, Doctor,GU Sheng-shi.BIFURCATIONS OF SUBHARMONIC SOLUTIONS IN PERIODIC PERTURBATION OF A HYPERBOLIC LIMIT CYCLE[J].Applied Mathematics and Mechanics(English Edition),2002,23(8):981-986. |
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| Authors: | HAN Mao-an Professor Doctor GU Sheng-shi |
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| Institution: | Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030, P R China |
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| Abstract: | Bifurcations of subharmonic solutions of order m of a planar periodic perturbed system near a hyperbolic limit cycle are discussed.
By using a Poincaré map and the method of rescaling a discriminating condition for the existence of subharmonic solutions
of order m is obtained. An example is given in the end of the paper.
Biography: HAN Mao-an (1961−) |
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| Keywords: | bifurcation subharmonic solution limit cycle |
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