Abstract
The common properties of different classes of 2π-periodic solutions of Duffing's non-linear differential equation are investigated analytically and numerically. Generating periodic solutions are examined. The basic properties of 2π-periodic solutions are investigated using the non-linear functional analysis method. Sets of 2π-periodic solutions of Duffing's equation are obtained using numerical methods for arbitrary values of the parameters occurring in it, and the stability of these solutions in a linear approximation is also investigated.
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