Solution of the damped cubic-quintic Duffing oscillator by using Jacobi elliptic functions

DOI10.1016/j.amc.2014.07.110zbMath1338.34078OpenAlexW2090261937MaRDI QIDQ295233

Alex Elías-Zúñiga

Publication date: 17 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.07.110

zbMATH Keywords

Jacobian elliptic functionscubic-quintic nonlinear termsdamped Duffing equationelectromagnetic pulses

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (7)

Exact solution for the unforced Duffing oscillator with cubic and quintic nonlinearities ⋮ An analysis for a special class of solution of a Duffing system with variable delays ⋮ Nonlinear oscillations of a point charge in the electric field of charged ring using a particular He's frequency-amplitude formulation ⋮ Uniform global asymptotic stability for oscillators with nonlinear damping and nonlinear restoring terms ⋮ Closed-form exact solutions for the unforced quintic nonlinear oscillator ⋮ Analytical and numerical solution to the nonlinear cubic Duffing equation: an application to electrical signal analysis of distribution lines ⋮ Performance analysis of a geometrically nonlinear isolation system subjected to high levels of excitation

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