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。
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.
出处
《力学学报》
EI
CSCD
北大核心
1996年第4期483-488,共6页
Chinese Journal of Theoretical and Applied Mechanics
基金
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
关键词
分段
线性系统
非光滑分析
分叉
解支延续
piecewise-linear system, nonsmooth analysis, bifurcation, solution continuation
