Birkhoffian formulations of nonholonomic constrained systems

Y. X. Guo*, S. K. Luo, M. Shang, F. X. Mei

*此作品的通讯作者

科研成果: 期刊稿件文章同行评审

61 引用 (Scopus)

摘要

Only for some special nonholonomic constrained systems can a canonical Hamiltonian structure be realized. Based on a reduction of a nonholonomic system to a conditional holonomic system, a universal symplectic structure for a constrained system can be constructed in the framework of Birkhoffian generalization of Hamiltonian mechanics, which preserves symbiotic character among derivability from a variational principle, Lie algebra and symplectic geometry. Two examples are presented.

源语言英语
页(从-至)313-322
页数10
期刊Reports on Mathematical Physics
47
3
DOI
出版状态已出版 - 6月 2001

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