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Exact analytic solutions for the damped Duffing nonlinear oscillator

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Publication:869410
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DOI10.1016/J.CRME.2006.03.009zbMath1119.34002OpenAlexW2098324627MaRDI QIDQ869410

Michalis P. Markakis, Dimitrios E. Panayotounakos, Efstathios E. Theotokoglou

Publication date: 2 March 2007

Published in: Comptes Rendus. Mécanique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crme.2006.03.009


zbMATH Keywords

Duffing oscillatorAbel equation


Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Nonlinear dynamics in mechanics (70K99)


Related Items (5)

Closed-form solutions of the Thomas-Fermi in heavy atoms and the Langmuir-blodgett in current flow ODEs in mathematical physics ⋮ Bifurcations and chaos in Duffing equation with damping and external excitations ⋮ The frequency estimation for non‐conservative nonlinear oscillation ⋮ Nonlinear asymptotic analysis of a system of two free coupled oscillators with cubic nonlinearities ⋮ Analytical and numerical solution to the nonlinear cubic Duffing equation: an application to electrical signal analysis of distribution lines







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