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The method of constructing Birkhoffian and Birkhoffian funcations of mechanical system is studied. Based on the conditions of self-adjointness and integrability conditions of linear partial differential equations, a method of undetermined tensor for constructing Birkhoffian and Birkhoffian funcations of mechanical systems is given. Two examples are given to illustrate the application of the results.
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Keywords:
- Birkhoffian mechanics/
- conditions of self-adjointness/
- Birkhoffian and Birkhoffian funcations/
- method of undetermined tensor
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