Perturbation method in the theory of nonlinear oscillations

Physics

Scientific paper

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Scientific paper

Asymptotic recurrence formulas for treating nonlinear oscillation
problems are presented. These formulas are based on a Lie transform
similar to that described by Deprit for Hamiltonian systems. It is shown
that the basic formulas have essentially the same forms as those
obtained by Deprit and by the present author in the Hamiltonian case.

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