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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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2022/8125305 |
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| _version_ | 1849405323818827776 |
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| author | Alvaro H. S. Salas |
| author_facet | Alvaro H. S. Salas |
| author_sort | Alvaro H. S. Salas |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-535caec74fc643c1bc0f79e7fce424b7 |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-535caec74fc643c1bc0f79e7fce424b72025-08-20T03:36:42ZengWileyThe Scientific World Journal1537-744X2022-01-01202210.1155/2022/8125305Analytical Approximant to a Quadratically Damped Forced Cubic-Quintic Duffing OscillatorAlvaro H. S. Salas0Universidad Nacional de ColombiaThe 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.http://dx.doi.org/10.1155/2022/8125305 |
| spellingShingle | Alvaro H. S. Salas Analytical Approximant to a Quadratically Damped Forced Cubic-Quintic Duffing Oscillator The Scientific World Journal |
| title | Analytical Approximant to a Quadratically Damped Forced Cubic-Quintic Duffing Oscillator |
| title_full | Analytical Approximant to a Quadratically Damped Forced Cubic-Quintic Duffing Oscillator |
| title_fullStr | Analytical Approximant to a Quadratically Damped Forced Cubic-Quintic Duffing Oscillator |
| title_full_unstemmed | Analytical Approximant to a Quadratically Damped Forced Cubic-Quintic Duffing Oscillator |
| title_short | Analytical Approximant to a Quadratically Damped Forced Cubic-Quintic Duffing Oscillator |
| title_sort | analytical approximant to a quadratically damped forced cubic quintic duffing oscillator |
| url | http://dx.doi.org/10.1155/2022/8125305 |
| work_keys_str_mv | AT alvarohssalas analyticalapproximanttoaquadraticallydampedforcedcubicquinticduffingoscillator |