Poincaré-Cartan integral invariants of Birkhoffian systems

Yong Xin Guo; Mei Shang; Shao Kai Luo

doi:10.1007/bf02439379

Poincaré-Cartan integral invariants of Birkhoffian systems

Yong Xin Guo^*, Mei Shang, Shao Kai Luo

^*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

6 引用（Scopus）

摘要

Based on modern differential geometry, the symplectic structure of a Birkhoffian system which is an extension of conservative and nonconservative systems is analyzed. An integral invariant of Poincaré-Cartan's type is constructed for Birkhoffian systems. Finally, one-dimensional damped vibration is taken as on illustrative example and integral invariant of Poincaré's type is found.

源语言	英语
页（从-至）	68-72
页数	5
期刊	Applied Mathematics and Mechanics (English Edition)
卷	24
期	1
DOI	https://doi.org/10.1007/bf02439379
出版状态	已出版 - 1月 2003

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title = "Poincar{\'e}-Cartan integral invariants of Birkhoffian systems",

abstract = "Based on modern differential geometry, the symplectic structure of a Birkhoffian system which is an extension of conservative and nonconservative systems is analyzed. An integral invariant of Poincar{\'e}-Cartan's type is constructed for Birkhoffian systems. Finally, one-dimensional damped vibration is taken as on illustrative example and integral invariant of Poincar{\'e}'s type is found.",

keywords = "Birkhoffian systems, Poincar{\'e}-Cartan integral invariants, Self-adjointness, Symplectic structure",

author = "Guo, {Yong Xin} and Mei Shang and Luo, {Shao Kai}",

year = "2003",

month = jan,

doi = "10.1007/bf02439379",

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T1 - Poincaré-Cartan integral invariants of Birkhoffian systems

AU - Guo, Yong Xin

AU - Shang, Mei

AU - Luo, Shao Kai

PY - 2003/1

Y1 - 2003/1

N2 - Based on modern differential geometry, the symplectic structure of a Birkhoffian system which is an extension of conservative and nonconservative systems is analyzed. An integral invariant of Poincaré-Cartan's type is constructed for Birkhoffian systems. Finally, one-dimensional damped vibration is taken as on illustrative example and integral invariant of Poincaré's type is found.

AB - Based on modern differential geometry, the symplectic structure of a Birkhoffian system which is an extension of conservative and nonconservative systems is analyzed. An integral invariant of Poincaré-Cartan's type is constructed for Birkhoffian systems. Finally, one-dimensional damped vibration is taken as on illustrative example and integral invariant of Poincaré's type is found.

KW - Birkhoffian systems

KW - Poincaré-Cartan integral invariants

KW - Self-adjointness

KW - Symplectic structure

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U2 - 10.1007/bf02439379

DO - 10.1007/bf02439379

M3 - Article

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SN - 0253-4827

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SP - 68

EP - 72

JO - Applied Mathematics and Mechanics (English Edition)

JF - Applied Mathematics and Mechanics (English Edition)

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ER -

Poincaré-Cartan integral invariants of Birkhoffian systems

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