Lie Algebraic Structure and Poisson Conservation Law for One Class of Multi-Dimensional Coupled Oscillators

Lie Algebraic Structure and Poisson Conservation Law for One Class of Multi-Dimensional Coupled Oscillators

This paper researches Lie algebraic structure and Poisson conservation law for one class of multi-dimensional coupled oscillators. The equations of motion are established, and the coupled terms in the equations of motion are eliminated by introducing normal transformations. The Lie algebraic structu...

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Veröffentlicht in:Applied Mechanics and Materials 2014-07, Vol.597 (Advance Materials Development and Applied Mechanics), p.388-392
Hauptverfasser: Fu, Jing Li, Chen, Ben Yong, Sun, Yi
Format: Artikel
Sprache:eng
Schlagworte:
Conservation
Equations of motion
Joining
Law
Lie groups
Oscillators
Transformations (mathematics)
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Zusammenfassung:This paper researches Lie algebraic structure and Poisson conservation law for one class of multi-dimensional coupled oscillators. The equations of motion are established, and the coupled terms in the equations of motion are eliminated by introducing normal transformations. The Lie algebraic structure and Poisson conservation law are given. Finally, an example is given to illustrate the results.
ISSN:1660-9336
1662-7482
1662-7482
DOI:10.4028/www.scientific.net/AMM.597.388