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's integration theory to these equations is given.
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Mei, F.X., Zhang, Y.F. & Shi, R.C. Dynamics algebra and its application. Acta Mechanica 137, 255–260 (1999). https://doi.org/10.1007/BF01179213
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DOI: https://doi.org/10.1007/BF01179213