Banerjee, Dhruba ; Bhattacharjee, Jayanta K. (2010) Analyzing jump phenomena and stability in nonlinear oscillators using renormalization group arguments American Journal of Physics, 78 (2). pp. 142-149. ISSN 0002-9505
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Official URL: http://doi.org/10.1119/1.3263229
Related URL: http://dx.doi.org/10.1119/1.3263229
Abstract
We study the stability of a damped Duffing oscillator by employing a renormalization group method for solving nonlinear differential equations. This approach is direct and makes the study of the amplitude equation smooth, obvious, and not based on any initial ansatz for the periodic form of the final solution. An introduction to the renormalization method is given.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Association of Physics Teachers. |
| ID Code: | 133874 |
| Deposited On: | 30 Dec 2022 11:37 |
| Last Modified: | 30 Dec 2022 11:37 |
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