| 一类时变分岔问题与Duffing—Van der Pol振子 |
| |
| 引用本文： | 化存才,陆启韶.一类时变分岔问题与Duffing—Van der Pol振子[J].力学与实践,2001,23(1):24-26. |
| |
| 作者姓名： | 化存才 陆启韶 |
| |
| 作者单位： | 北京航空航天大学理学院, |
| |
| 基金项目： | 国家自然科学基金(19872010)和高校博士点基金(98000619)项目资助. |
| |
| 摘 要： | 用量级平衡方法分析一类时变分岔问题，得出正反两个方向的分岔转迁滞后且具有对称性，将Duffing-Van derPol振子的相图是一动态滞后环。
|
| 关 键 词： | 时变分岔 Dduffing－VanderPol振子 反馈控制 |
| 修稿时间： | 1999年11月17 |
CLASS OF TIME-DEPENDENT
BIFURCATION PROBLEMAND THE DUFFING-VAN DER POL OSCILLATOR |
| |
| HUA Cuncai,LU Qishao.CLASS OF TIME-DEPENDENT
BIFURCATION PROBLEMAND THE DUFFING-VAN DER POL OSCILLATOR[J].Mechanics and Engineering,2001,23(1):24-26. |
| |
| Authors: | HUA Cuncai LU Qishao |
| |
| Abstract: | A class of time-dependent bifurcation problem has been analyzed by using the method of scaling balance. It is concluded that the bifurcation transitions in positive and negative directions are both delayed and have symmetry. The Duffing-Van der Pci oscillation equation has been changed into a feedback control problem of the time-dependent bifurcation. Under certain conditions, the phase diagram of the Duffing-Van der Pol oscillator is a dynamical hysteresis cycle. |
| |
| Keywords: | Time-dependent bifurcation Duffing-Van der Pol oscillator feedback control |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
