Asymmetric Duffing oscillator: metamorphoses of $1:2$ resonance and its interaction with the primary resonance
| Autor: | Kyziol, Jan, Okniński, Andrzej |
|---|---|
| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We investigate the $1: 2$ resonance in the periodically forced asymmetric Duffing oscillator due to the period-doubling of the primary $1: 1$ resonance or forming independently, coexisting with the primary resonance. We compute the steady-state asymptotic solution - the amplitude-frequency implicit function. Working in the differential properties of implicit functions framework, we describe complicated metamorphoses of the $1:2$ resonance and its interaction with the primary resonance. Comment: 13 pages, 7 figures, section with two examples added |
| Databáze: | arXiv |
| Externí odkaz: |
|