Analytical Approximant to a Quadratically Damped Duffing Oscillator
The Duffing oscillator of a system with strong quadratic damping is considered. We give an 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. We also solve t...
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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/10.1155/2022/3131253 |
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| author | Alvaro H. Salas S |
| author_facet | Alvaro H. Salas S |
| author_sort | Alvaro H. Salas S |
| collection | DOAJ |
| description | The Duffing oscillator of a system with strong quadratic damping is considered. We give an 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. We also solve the oscillator by menas of He’s homotopy method and the famous Krylov–Bogoliubov–Mitropolsky method. The approximant allows estimating the points at which the solution crosses the horizontal axis. |
| format | Article |
| id | doaj-art-dd43d3aee1904b30acf9fba7b86b3618 |
| 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-dd43d3aee1904b30acf9fba7b86b36182025-02-03T01:07:10ZengWileyThe Scientific World Journal1537-744X2022-01-01202210.1155/2022/3131253Analytical Approximant to a Quadratically Damped Duffing OscillatorAlvaro H. Salas S0Universidad Nacional de ColombiaThe Duffing oscillator of a system with strong quadratic damping is considered. We give an 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. We also solve the oscillator by menas of He’s homotopy method and the famous Krylov–Bogoliubov–Mitropolsky method. The approximant allows estimating the points at which the solution crosses the horizontal axis.http://dx.doi.org/10.1155/2022/3131253 |
| spellingShingle | Alvaro H. Salas S Analytical Approximant to a Quadratically Damped Duffing Oscillator The Scientific World Journal |
| title | Analytical Approximant to a Quadratically Damped Duffing Oscillator |
| title_full | Analytical Approximant to a Quadratically Damped Duffing Oscillator |
| title_fullStr | Analytical Approximant to a Quadratically Damped Duffing Oscillator |
| title_full_unstemmed | Analytical Approximant to a Quadratically Damped Duffing Oscillator |
| title_short | Analytical Approximant to a Quadratically Damped Duffing Oscillator |
| title_sort | analytical approximant to a quadratically damped duffing oscillator |
| url | http://dx.doi.org/10.1155/2022/3131253 |
| work_keys_str_mv | AT alvarohsalass analyticalapproximanttoaquadraticallydampedduffingoscillator |