Journal article
Unbounded sequences of stable limit cycles in the delayed Duffing equation: an exact analysis
In
Nonlinear Dynamics
—
2021, Volume 103, Issue 1, pp. 503-515
Abstract
The delayed Duffing equation x¨(t)+x(t−T)+x3(t)=0 is shown to possess an infinite and unbounded sequence of rapidly oscillating, asymptotically stable periodic solutions, for fixed delays such that T2<32π2. In contrast to several previous works which involved approximate solutions, the treatment here is exact.
| Language: | English |
|---|---|
| Publisher: | Springer Netherlands |
| Year: | 2021 |
| Pages: | 503-515 |
| Journal subtitle: | An International Journal of Nonlinear Dynamics and Chaos in Engineering Systems |
| ISSN: | 1573269x and 0924090x |
| Types: | Journal article |
| DOI: | 10.1007/s11071-020-06012-8 |
| ORCIDs: | Sah, Si Mohamed |
