Analytical approximate solutions for the cubic-quintic Duffing oscillator in terms of elementary functions
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Publication:1760628
DOI10.1155/2012/286290zbMath1251.34002OpenAlexW2119296315WikidataQ58906557 ScholiaQ58906557MaRDI QIDQ1760628
Publication date: 15 November 2012
Published in: Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2012/286290
Periodic solutions to ordinary differential equations (34C25) Explicit solutions, first integrals of ordinary differential equations (34A05)
Related Items (6)
Approximate period for large-amplitude oscillations of a simple pendulum based on quintication of the restoring force ⋮ Exact solution for the unforced Duffing oscillator with cubic and quintic nonlinearities ⋮ Exact time-integral inversion via Čebyšëv quintic approximations for nonlinear oscillators ⋮ Accurate solutions of conservative nonlinear oscillators by the enhanced cubication method ⋮ Parametrically excited oscillations of second-order functional differential equations and application to Duffing equations with time delay feedback ⋮ A postverification method for solving forced Duffing oscillator problems without prescribed periods
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