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- W53701632 abstract "The partial differential equations for the vector field generating a symmetry transformation for a dynamical system described by a set of first-order ordinary differential equations is derived. Furthermore, a method for the explicit solution of these partial differential equations is discussed. This automatically leads to the first integrals of the system. It follows that the complete symmetry group is always infinitely dimensional and that the components of the vector feld generating the symmetry can be easily expressed in terms of arbitrary functions of the first integrals. This program has been worked out in full detail for the one-dimensional harmonic oscillator and for the n-dimensional linearly damped anisotropic oscillator. The results for the free particle and the one-dimensional oscillator are generalizations of results found in literature." @default.
- W53701632 created "2016-06-24" @default.
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- W53701632 date "1982-06-01" @default.
- W53701632 modified "2023-09-23" @default.
- W53701632 title "Symmetries and first integrals" @default.
- W53701632 hasPublicationYear "1982" @default.
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