Applications of the complex, double and dual numbers in Lagrangian mechanics
DOI:
https://doi.org/10.31349/RevMexFis.69.010702Keywords:
Variational symmetries, Hypercomplex numbers, Non-standard LagrangiansAbstract
It is shown that in some examples of classical mechanics, the complex, double and dual numbers are useful in the search of symmetries of the equations of motion. As a byproduct, we obtain non-standard Lagrangians for the systems under consideration.
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Copyright (c) 2023 Gerardo Francisco Torres del Castillo, Luis Ángel Capulín Tlaltecatl
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