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Jacobi multipliers and Hamel’s formalism
Journal of Physics A: Mathematical and Theoretical ( IF 2.1 ) Pub Date : 2021-05-10 , DOI: 10.1088/1751-8121/abf2ed Jos F Cariena 1 , Patricia Santos 2
中文翻译:
雅可比乘数和哈默尔的形式主义
更新日期:2021-05-10
Journal of Physics A: Mathematical and Theoretical ( IF 2.1 ) Pub Date : 2021-05-10 , DOI: 10.1088/1751-8121/abf2ed Jos F Cariena 1 , Patricia Santos 2
Affiliation
In this work we establish the relation between the Jacobi last multiplier, which is a geometrical tool in the solution of problems in mechanics and that provides Lagrangian descriptions and constants of motion for second-order ordinary differential equations, and nonholonomic Lagrangian mechanics where the dynamics is determined by Hamel’s equations.
中文翻译:
雅可比乘数和哈默尔的形式主义
在这项工作中,我们建立了雅可比最后乘子之间的关系,它是解决力学问题的几何工具,为二阶常微分方程提供拉格朗日描述和运动常数,与非完整拉格朗日力学之间的关系由 Hamel 方程确定。