Unbounded sequences of stable limit cycles in the delayed Duffing equation: an exact analysis
| Autor: | Sah, Si Mohamed, Fiedler, Bernold, Shayak, B., Rand, Richard H. |
|---|---|
| Rok vydání: | 2019 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | The delayed Duffing equation $\ddot{x}(t)+x(t-T)+x^3(t)=0$ is shown to possess an infinite and unbounded sequence of rapidly oscillating, asymptotically stable periodic solutions, for fixed delays such that $T^2<\tfrac{3}{2}\pi^2$. In contrast to several previous works which involved approximate solutions, the treatment here is exact. Comment: 16 pages, 8 figures |
| Databáze: | arXiv |
| Externí odkaz: |
|