Birkhoffian formulations of nonholonomic constrained systems

Y. X. Guo; S. K. Luo; M. Shang; F. X. Mei

doi:10.1016/S0034-4877(01)80046-X

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

宇航学院

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
卷	47
期	3
DOI	https://doi.org/10.1016/S0034-4877(01)80046-X
出版状态	已出版 - 6月 2001

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10.1016/S0034-4877(01)80046-X

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Guo, Y. X., Luo, S. K., Shang, M., & Mei, F. X. (2001). Birkhoffian formulations of nonholonomic constrained systems. Reports on Mathematical Physics, 47(3), 313-322. https://doi.org/10.1016/S0034-4877(01)80046-X

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keywords = "Birkhoff's equations, Hamiltonian mechanics, Nonholonomic constrained systems, Symplectic geometry",

author = "Guo, {Y. X.} and Luo, {S. K.} and M. Shang and Mei, {F. X.}",

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AU - Shang, M.

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N2 - 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.

AB - 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.

KW - Birkhoff's equations

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Birkhoffian formulations of nonholonomic constrained systems

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