دورية أكاديمية
Approximate solutions of the fractional damped nonlinear oscillator subject to Van der Pol system
| العنوان: | Approximate solutions of the fractional damped nonlinear oscillator subject to Van der Pol system |
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| المؤلفون: | Yanni Zhang, Zhen Zhao, Jing Pang |
| المصدر: | Journal of Low Frequency Noise, Vibration and Active Control, Vol 42 (2023) |
| بيانات النشر: | SAGE Publishing, 2023. |
| سنة النشر: | 2023 |
| المجموعة: | LCC:Acoustics. Sound |
| مصطلحات موضوعية: | Control engineering systems. Automatic machinery (General), TJ212-225, Acoustics. Sound, QC221-246 |
| الوصف: | This paper deals with fractal Van der Pol damped nonlinear oscillators equation having nonlinearity. By combining the techniques of the Laplace transform and the variational iteration method, we establish approximate periodic solutions for the fractal damped nonlinear systems. In this simple way, nonlinear differential equations can be easily converted into linear differential equations. Illustrative examples including the Van der Pol damped nonlinear oscillator reveal that this method is very effective and convenient for solving fractal nonlinear differential equations. Finally, comparison of the obtained results with those of the other achieved method, also reveals that this coupling method not only suggests an easier method due to the Lagrange multiplier but also can be easily extended to other nonlinear systems. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 1461-3484 2048-4046 14613484 |
| Relation: | https://doaj.org/toc/1461-3484; https://doaj.org/toc/2048-4046 |
| DOI: | 10.1177/14613484221149515 |
| URL الوصول: | https://doaj.org/article/a56e3edd0aee42e5a2a1be4e7093361f |
| رقم الأكسشن: | edsdoj.56e3edd0aee42e5a2a1be4e7093361f |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 14613484 20484046 |
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| DOI: | 10.1177/14613484221149515 |