| GENERALIZED CANONICAL TRANSFORMATION AND SYMPLECTIC ALGORITHM OF THE AUTONOMOUS BIRKHOFFIAN SYSTEMS |
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| 作者姓名： | 张兴武 武际可 朱海平 黄克服 |
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| 作者单位： | Department of Mechanics and Engineering Science，Peking University，Beijing 100871，P R China，Department of Mechanics and Engineering Science，Peking University，Beijing 100871，P R China，Department of Mechanics and Engineering Science，Peking University，Beijing 100871，P R China，Department of Mechanics and Engineering Science，Peking University，Beijing 100871，P R China |
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| 基金项目： | Foundation items:the National Natural Science Foundation of Cina(19990510)，Planed item for distinguished teacher invested by Ministry of Education PRC |
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| 摘 要： | The Birkhoff systems are the generalization of the Hamiltonian systems. Generalized canonical transformations are studied. The symplectic algorithm of the Hamiltonian systems is extended into that of the Birkhoffian systems . Symplectic differential scheme of autonomous Birkhoffian systems was structured and discussed by introducing the Kailey Transformation .
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| 收稿时间： | 13 March 2001 |
Generalized canonical transformation and symplectic algorithm of the autonomous Birkhoffian systems |
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| Zhang Xing-wu Doctor,Wu Ji-ke,Zhu Hai-ping,Huang Ke-fu.GENERALIZED CANONICAL TRANSFORMATION AND SYMPLECTIC ALGORITHM OF THE AUTONOMOUS BIRKHOFFIAN SYSTEMS[J].Applied Mathematics and Mechanics(English Edition),2002,23(9):1029-1034. |
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| Authors: | Zhang Xing-wu Doctor Wu Ji-ke Zhu Hai-ping Huang Ke-fu |
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| Institution: | Department of Mechanics and Engineering Science, Peking University, Beijing,100871, P R China |
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| Abstract: | The Birkhoff systems are the generalization of the Hamiltonian systems. Generalized canonical transformations are studied. The symplectic algorithm of the Hamiltonian systems is extended into that of the Birkhoffian systems . Symplectic differential scheme of autonomous Birkhoffian systems was structured and discussed by introducing the Kailey Transformation . |
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| Keywords: | Birkhoffian system sympletic algorithm canonical transformation |
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