Analytical Approximant to a Quadratically Damped Forced Cubic-Quintic Duffing Oscillator

The cubic-quintic Duffing oscillator of a system with strong quadratic damping and forcing is considered. We give elementary approximate analytical solution to this oscillator in terms of exponential and trigonometric functions. We compare the analytical approximant with the Runge–Kutta numerical so...

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Detalles Bibliográficos
Autor principal: Salas, Alvaro H. S.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi 2022
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9489384/
https://www.ncbi.nlm.nih.gov/pubmed/36147797
http://dx.doi.org/10.1155/2022/8125305
Descripción
Sumario:The cubic-quintic Duffing oscillator of a system with strong quadratic damping and forcing is considered. We give elementary approximate analytical solution to this oscillator in terms of exponential and trigonometric functions. We compare the analytical approximant with the Runge–Kutta numerical solution. The approximant allows us to estimate the points at which the solution crosses the horizontal axis.

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