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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

作     者:张兴武 武际可 朱海平 黄克服 

作者机构:Department of Mechanics and Engineering SciencePeking UniversityBeijing 100871P R China 

出 版 物:《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学(英文版))

年 卷 期:2002年第23卷第9期

页      面:1029-1034页

核心收录:

学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基  金:Foundation items:the National Natural Science Foundation of Cina(19990510) Planed item for distinguished teacher invested by Ministry of Education PRC 

主  题:Birkhoffian system sympletic algorithm canonical transformation 

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 Birkhofflan systems. Symplectic differential scheme of autonomous Birkhoffian systems vas structured and discussed by introducing the Kailey Transformation.

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