| Autor: |
Alvaro H. Salas, Lorenzo J. Martínez H, David L. Ocampo R |
| Jazyk: |
angličtina |
| Rok vydání: |
2022 |
| Předmět: |
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| Zdroj: |
Complexity, Vol 2022 (2022) |
| Druh dokumentu: |
article |
| ISSN: |
1099-0526 |
| DOI: |
10.1155/2022/9269957 |
| Popis: |
The nonlinear differential equation governing the periodic motion of the one-dimensional, undamped, and unforced cubic-quintic Duffing oscillator is solved exactly by obtaining the period and the solution. The period is given in terms of the complete elliptic integral of the first kind and the solution involves Jacobian elliptic functions. We solve the cubic-quintic Duffing equation under arbitrary initial conditions. Physical applications are provided. The solution to the mixed parity Duffing oscillator is also formally derived. We illustrate the obtained results with concrete examples. We give high accurate trigonometric approximations to the Jacobian function cn. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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