Generalized Canonical Transformation and Symplectic Algorithm of the Autonomous Birkhoffian Systems

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

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Article Navigation > Applied Mathematics and Mechanics > 2002 > 23(9): 915-920

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, 2002, 23(9): 915-920.

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Generalized Canonical Transformation and Symplectic Algorithm of the Autonomous Birkhoffian Systems

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

Received Date: 2001-03-13
Rev Recd Date: 2002-05-28
Publish Date: 2002-09-15

Abstract

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.
- Birkhoffian system,
- sympletic algorithm,
- canonical transformation

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References(6)

References

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