GENERALIZED CANONICAL TRANSFORMATION AND SYMPLECTIC ALGORITHM OF THE AUTONOMOUS BIRKHOFFIAN SYSTEMS

Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (9): 1029-1034.

GENERALIZED CANONICAL TRANSFORMATION AND SYMPLECTIC ALGORITHM OF THE AUTONOMOUS BIRKHOFFIAN SYSTEMS

张兴武, 武际可, 朱海平, 黄克服

Department of Mechanics and Engineering Science, Peking University, Beijing 100871, P.R.China

收稿日期:2001-03-13 修回日期:2002-05-28 出版日期:2002-09-18 发布日期:2002-09-18
通讯作者: HUANG Yong-nian
基金资助:
Foundation items:the National Natural Science Foundation of Cina(19990510);Planed item for distinguished teacher invested by Ministry of Education PRC

GENERALIZED CANONICAL TRANSFORMATION AND SYMPLECTIC ALGORITHM OF THE AUTONOMOUS BIRKHOFFIAN SYSTEMS

ZHANG Xing-wu, WU Ji-ke, ZHU Hai-ping, HUANG Ke-fu

Department of Mechanics and Engineering Science, Peking University, Beijing 100871, P.R.China

Received:2001-03-13 Revised:2002-05-28 Online:2002-09-18 Published:2002-09-18
Supported by:
Foundation items:the National Natural Science Foundation of Cina(19990510);Planed item for distinguished teacher invested by Ministry of Education PRC

摘要/Abstract

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.

中图分类号:

O175.29

张兴武;武际可;朱海平;黄克服. GENERALIZED CANONICAL TRANSFORMATION AND SYMPLECTIC ALGORITHM OF THE AUTONOMOUS BIRKHOFFIAN SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(9): 1029-1034.

ZHANG Xing-wu;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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GENERALIZED CANONICAL TRANSFORMATION AND SYMPLECTIC ALGORITHM OF THE AUTONOMOUS BIRKHOFFIAN SYSTEMS

GENERALIZED CANONICAL TRANSFORMATION AND SYMPLECTIC ALGORITHM OF THE AUTONOMOUS BIRKHOFFIAN SYSTEMS

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