摘要
The principal resonance of Van der Pol-Duffing oscillator to combined deterministic and random parametric excitations is investigated. The method of multiple scales was used to determine the equations of modulation of amplitude and phase. The behavior, stability and bifurcation of steady state response were studied. Jumps were shown to occur under some conditions. The effects of damping, detuning, bandwidth, and magnitudes of deterministic and random excitations are analyzed. The theoretical analysis were verified by numerical results.
| 源语言 | 英语 |
|---|---|
| 页（从-至） | 299-310 |
| 页数 | 12 |
| 期刊 | Applied Mathematics and Mechanics (English Edition) |
| 卷 | 23 |
| 期 | 3 |
| DOI | |
| 出版状态 | 已出版 - 3月 2002 |