Dynamics algebra and its application

All equations of motion well-known in classical mechanics can be written in a unified contravariant algebra form and possess a Lie admissible algebra structure as well as a Lie algebra structure under certain conditions. The application of Poisson integration theory to the equations is given.

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Bibliographic Details
Published inActa mechanica Vol. 137; no. 3-4; pp. 255 - 260
Main Authors MEI, F. X, ZHANG, Y. F, SHI, R. C
Format Journal Article
LanguageEnglish
Published Wien Springer 01.01.1999
New York, NY
Subjects
Algebra
Equations of motion
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Integration
Mathematical methods in physics
Numerical approximation and analysis
Numerical linear algebra
Physics
Poisson ratio
Solid dynamics (ballistics, collision, multibody system, stabilization...)
Solid mechanics
Solid body
Analytical mechanics
Numerical method
Dynamical system
Equation of motion
Lie algebra
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Summary:All equations of motion well-known in classical mechanics can be written in a unified contravariant algebra form and possess a Lie admissible algebra structure as well as a Lie algebra structure under certain conditions. The application of Poisson integration theory to the equations is given.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0001-5970
1619-6937
DOI:10.1007/BF01179213