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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Bibliographic Details
Published inTheScientificWorld Vol. 2022; pp. 1 - 9
Main Author Salas, Alvaro H. S.
Format Journal Article
LanguageEnglish
Published Cairo Hindawi 13.09.2022
John Wiley & Sons, Inc
Hindawi Limited
Subjects
Analysis
Approximation
Damping
Differential equations
Duffing oscillators
Exact solutions
Mathematical analysis
Ordinary differential equations
Runge-Kutta method
Trigonometric functions
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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Academic Editor: Syed Abbas
ISSN:2356-6140
1537-744X
1537-744X
DOI:10.1155/2022/8125305