Closed-form exact solutions for the unforced quintic nonlinear oscillator

DOI10.1155/2017/7396063zbMath1401.34002OpenAlexW2585949672WikidataQ59142466 ScholiaQ59142466MaRDI QIDQ1798481

Augusto Beléndez, Tarsicio Beléndez, Carolina Pascual, Encarnación Gimeno, Mariela L. Álvarez, Enrique Arribas

Publication date: 23 October 2018

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/7396063

zbMATH Keywords

periodic motionperiodscomplete elliptic integral of the first kindclosed-form exact solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Explicit solutions, first integrals of ordinary differential equations (34A05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (3)

Exact time-integral inversion via Čebyšëv quintic approximations for nonlinear oscillators ⋮ Performance analysis of a geometrically nonlinear isolation system subjected to high levels of excitation ⋮ Boundary value problems for Liénard-type equations with quadratic dependence on the ``velocity

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