Abstract
The general solutions of both the Duffing equation and the Lorenz system admit meromorphic Laurent series representations about movable poles only for certain values of their respective parameters. In all other parameter regimes, the general solutions contain movable logarithmic branch points. Series expansions about such points are termed psi-series and constitute formal general solutions. In this article, we prove the convergence of the psi-series solutions of the Duffing equation and the Lorenz system, thus establishing that the formal solutions are actual solutions.
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