摘要
利用离散映射讨论了一类二维奇异线性脉冲系统无穷多个周期解的存在性,利用得到的周期解讨论了特征值不连续变化的现象以及中心和焦点存在的条件,用数值例子给出了系统存在焦点和中心的相图,很好的验证了理论分析结果.
The existence of periodic solutions of a singular linear impulsive system was studied by using discrete maps. The discontinuous change of eigenvalues and the existence conditions for focus and center were investigated. Numerical results for focus and center, illustrated with an example, are in good agreement with the theoretical analysis.
出处
《动力学与控制学报》
2012年第4期299-302,共4页
Journal of Dynamics and Control
基金
国家自然科学基金资助项目(11162004
60964006)
广西自然科学基金资助项目(2012GXNSFAA053006)~~
关键词
线性脉冲系统
周期解
焦点
中心
linear impulsive system, periodic solution, pulse vaccination, focus, center
