国家自然科学基金资助项目(11162004, 60964006)和广西自然科学基金资助项目(2012GXNSFAA053006)
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.
凌琳,刘苏雨,蒋贵荣.一类奇异线性脉冲系统的中心和焦点[J].动力学与控制学报,2012,10(4):299~302; Ling Lin, Liu Suyu, Jiang Guirong. Focus and center of a singular linear impulsive system[J]. Journal of Dynamics and Control,2012,10(4):299-302.
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