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Small oscillations of non-dissipative Lagrangian systems

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 Publication date 2018
  fields Physics
and research's language is English




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The small oscillations of an arbitrary scleronomous system subject to time-independent non dissipative forces are discussed. The linearized equations of motion are solved by quadratures. As in the conservative case, the general integral is shown to consist of a superposition of harmonic oscillations. A complexification of the resolving algorithm is presented.

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