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Accurate analytical solutions to nonlinear oscillators by means of the Hamiltonian approach. (English) Zbl 1248.34038

Based on the Hamiltonian approach, the authors present some numerical experiments for the Duffing equation \(u''+u+\varepsilon u^3=0\) with the initial conditions \(u(0)=A\) and \(u'(0)=0\).

MSC:

34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations
34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
34A45 Theoretical approximation of solutions to ordinary differential equations
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