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.
Original language | English |
---|---|
Journal | Nonlinear Dynamics |
Volume | 103 |
Pages (from-to) | 503–515 |
ISSN | 0924-090X |
DOIs | |
Publication status | Published - 2021 |
Keywords
- Delayed Duffing oscillator
- Limit cycle
- Exact analysis
- Jacobi elliptic function