| 分段线性系统动力学的非光滑分析 |
| |
| 引用本文： | 胡海岩.分段线性系统动力学的非光滑分析[J].力学学报,1996,28(4):483-488. |
| |
| 作者姓名： | 胡海岩 |
| |
| 作者单位： | 南京航空航天大学振动所，210016 |
| |
| 基金项目： | 国家自然科学基金,国家教委跨世纪优秀人才基金,国家教委优秀年轻教师基金 |
| |
| 摘 要： | 分析了分段线性系统的非光滑向量场对Ｐｏｉｎｃａｒｅ映射可微性的影响以及由此产生的复杂动力学行为．研究表明：当周期运动接近鞍结及其退化分叉或以很低速度穿过两线性区的切换面时，这类系统的动力学行为显著有别于具有光滑向量场的系统
|
| 关 键 词： | 分段 线性系统 非光滑分析 分叉 解支延续 |
NONSMOOTH ANALYSIS OF DYNAMICS OF A PIECEWISE LINEAR SYSTEM |
| |
| Hu Haiyan.NONSMOOTH ANALYSIS OF DYNAMICS OF A PIECEWISE LINEAR SYSTEM[J].chinese journal of theoretical and applied mechanics,1996,28(4):483-488. |
| |
| Authors: | Hu Haiyan |
| |
| Abstract: | Begins with analyzing the effect of nonsmooth vector field of a piecewise-linear system on the differentiability of the Poincare mapping, then, presents the dynamics complexity of the system through numerical simulations. The study shows that the system differs greatly in dynamics from a system with smooth vector field, when its periodic motion approaches a bifurcation of saddle-node(or relevant degenerated)type or penetrates a switching plane between two linear regions at very low velocity. |
| |
| Keywords: | piecewise-linear system nonsmooth analysis bifurcation solution continuation |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《力学学报》浏览原始摘要信息 |
| 点击此处可从《力学学报》下载免费的PDF全文 |
