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

• Articles • Previous Articles     Next Articles

GENERALIZED CANONICAL TRANSFORMATION AND SYMPLECTIC ALGORITHM OF THE AUTONOMOUS BIRKHOFFIAN SYSTEMS

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

  1. 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

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.

2010 MSC Number: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals