First integral and integral invariant of Birkhoffian system

F. Mei; H. Wu

doi:10.1007/BF02884939

First integral and integral invariant of Birkhoffian system

F. Mei^*, H. Wu

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

The variational equation of the Birkhoffian system is established, by which it is proved that an integral invariant can be constructed with a known first integral. And its inverse is also correct.

Original language	English
Pages (from-to)	412-414
Number of pages	3
Journal	Chinese Science Bulletin
Volume	45
Issue number	5
DOIs	https://doi.org/10.1007/BF02884939
Publication status	Published - 2000

Keywords

Analytical mechanics
Birkhoffian system
First integral
Integral invariant

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10.1007/BF02884939

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title = "First integral and integral invariant of Birkhoffian system",

abstract = "The variational equation of the Birkhoffian system is established, by which it is proved that an integral invariant can be constructed with a known first integral. And its inverse is also correct.",

keywords = "Analytical mechanics, Birkhoffian system, First integral, Integral invariant",

author = "F. Mei and H. Wu",

year = "2000",

doi = "10.1007/BF02884939",

language = "English",

volume = "45",

pages = "412--414",

journal = "Chinese Science Bulletin",

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T1 - First integral and integral invariant of Birkhoffian system

AU - Mei, F.

AU - Wu, H.

PY - 2000

Y1 - 2000

N2 - The variational equation of the Birkhoffian system is established, by which it is proved that an integral invariant can be constructed with a known first integral. And its inverse is also correct.

AB - The variational equation of the Birkhoffian system is established, by which it is proved that an integral invariant can be constructed with a known first integral. And its inverse is also correct.

KW - Analytical mechanics

KW - Birkhoffian system

KW - First integral

KW - Integral invariant

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U2 - 10.1007/BF02884939

DO - 10.1007/BF02884939

M3 - Article

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SN - 1001-6538

VL - 45

SP - 412

EP - 414

JO - Chinese Science Bulletin

JF - Chinese Science Bulletin

IS - 5

ER -

First integral and integral invariant of Birkhoffian system

Abstract

Keywords

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