一类不连续广义Lienard微分系统的极限环
Limit Cycles for a Class of Discontinuous Generalized Lienard Differential Systems
DOI: 10.12677/AAM.2017.61003, PDF, HTML, XML,  被引量 下载: 1,695  浏览: 2,417  国家自然科学基金支持
作者: 余翠连：浙江师范大学，数理与信息工程学院，浙江 金华
关键词: 极限环；Melnikov函数；不连续系统；非线性中心；Limit Cycles； Melnikov Functions； Piecewise Systems； Nonlinear Center
摘要: 利用Melnikov函数方法，我们研究从一类不连续广义Lienard微分系统的非线性中心的周期环域分支出极限环的最大个数问题。通过对该系统的非线性中心进行分段光滑的多项式扰动，得到了该系统从非线性中心的周期环域分支出极限环最大个数的估计。
Abstract: By using the Melnikov function theory, we study the maximum number of limit cycles which bi-furcate from the periodic annulus of the nonlinear center for a class of generalized Lienard diffe-rential systems. By piecewise smooth polynomial perturbating, the estimation of the maximum number of limit cycles which bifurcate from the periodic annulus of this nonlinear center is ob-tained.
文章引用：余翠连. 一类不连续广义Lienard微分系统的极限环[J]. 应用数学进展, 2017, 6(1): 20-28. http://dx.doi.org/10.12677/AAM.2017.61003

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