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- W2091026333 abstract "We propose a method to decompose a smooth vector field into conservative and dissipative components. The procedure is based on the identification of the kernel of a linear operator associated with a given Hamiltonian combined with the use of Lie transformations for vector fields. Moreover, under certain conditions the nonconservative part of the splitting can be dropped at a given order of the transformation, obtaining after truncation, a Hamilton vector field. The technique is illustrated through the application to the motion of a particle subject to the potential of a champagne bottle plus a small friction." @default.
- W2091026333 created "2016-06-24" @default.
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- W2091026333 date "2005-09-01" @default.
- W2091026333 modified "2023-09-26" @default.
- W2091026333 title "Dissipative-Hamiltonian decomposition of smooth vector fields based on symmetries" @default.
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- W2091026333 doi "https://doi.org/10.1063/1.2032907" @default.
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