| DISSIPATIVE SCHEMES WITH PROPERTY OF INHERITING HOMOCLINIC ORBITS FOR 2N-DIMENSIONAL HAMILTONIAN SYSTEMS |
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| 作者姓名： | 杜维华 黄明游 |
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| 作者单位： | Mathematical Departmeant，Institute of Mathematics Harbin Engineering University，Harbin 150001，PRC，Jilin University，Changchun 130023，PRC |
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| 基金项目： | SupportedbyfundsoftheDoctoralProgramofNationalHigherEducation (No.970 1 830 3)andtheNationalScience
Foundation (No.1 0 0 71 0 30 )ofChina. |
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| 摘 要： | 1 ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｉｓｐａｐｅｒｉｓｄｅｖｏｔｅｄｔｏｓｔｕｄｙｗｈａｔｋｉｎｄｏｆｄｉｓｃｒｅｔｅｓｃｈｅｍｅｓｏｆｔｈｅｆｏｌｌｏｗｉｎｇ 2ｎ ｄｉｍｅｎ ｓｉｏｎａｌＨａｍｉｌｔｏｎｉａｎｓｙｓｔｅｍｓｗｉｔｈｐａｒａｍｅｔｅｒｉｎｎｏｒｍａｌｆｏｒｍ ｕ=Ｊ2ｎ Ｈ ｕＴ, Ｈ =Ｈ(ｕ ,λ) ,(1 )ｗｈｅｒｅｕ∈Ｒ2ｎ,λ∈Ｒ ,Ｈ∈Ｃｋ+1(Ｒ2ｎ×Ｒ ,Ｒ) ,ｋ≥ 6,ａｎｄＪ2ｎ =0Ｉｎ-Ｉｎ 0 ,Ｉｎ:ｕｎｉｔｍａｔｒｉｘｏｆｏｒｄｅｒｎｈａｓｔｈｅｐｒｏｐｅｒｔｙｏｆｉｎｈｅｒｉｔｉｎｇｈｏｍ…
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DISSIPATIVE SCHEMES WITH PROPERTY OF INHERITING HOMOCLINIC ORBITS FOR 2N-DIMENSIONAL HAMILTONIAN SYSTEMS |
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| Du Weihua Huang Mingyou Mathematical Departmeant,Harbin Engineering University,Harbin ,PRC.DISSIPATIVE SCHEMES WITH PROPERTY OF INHERITING HOMOCLINIC ORBITS FOR 2N-DIMENSIONAL HAMILTONIAN SYSTEMS[J].Numerical Mathematics A Journal of Chinese Universities English Series,2002,11(2):197-212. |
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| Authors: | Du Weihua Huang Mingyou Mathematical Departmeant Harbin Engineering University Harbin PRC |
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| Institution: | 1. Mathematical Departmeant, Harbin Engineering University, Harbin 150001, PRC
2. Institute of Mathematics, Jilin University, Changchun 130023,PRC |
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| Abstract: | In this paper we develop a kind of dissipative discrete scheme for the computation of homoclinic orbits near TB-point in Hamiltonian systems. It is proved by using continuation method that when the dissipative term and its coefficient are suitably chosen, this scheme possesses discrete homoclinic orbits, which approximate the continuous homoclinic orbits with second order accuracy w.r. to time-step size. |
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| Keywords: | Hamiltonian system homoclinic orbit dissipative scheme continuation method |
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