Abstract
A systematic study on the dynamics of a controlled Duffing oscillator with delayed displacement feedback was investigated. The analysis of the stability switches of the trivial equilibrium of the system was analyzed. The stability of the periodic motion was discussed from the high-order approximation of the asymptotic solution and from viewpoint of basin of attraction. Finally, a Poincaré section technique was proposed and the results show that the dynamical structures are topologically symmetric in rotation.
| Original language | English |
|---|---|
| Pages (from-to) | 2753-2775 |
| Number of pages | 23 |
| Journal | International Journal of Bifurcation and Chaos |
| Volume | 14 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - Aug 2004 |
| Externally published | Yes |
Keywords
- Basin of attraction
- Chaos
- Hopf bifurcation
- Periodicity in delay
- Stability switch
- Time delay