Hopf and homoclinic bifurcations for near-Hamiltonian systems
Hopf and homoclinic bifurcations for near-Hamiltonian systems
复制标题
近哈密尔顿系统的 Hopf 和同宿分岔
DOI：
10.1016/j.jde.2016.11.026
复制
发表时间：
2017
影响因子：
2.4
通讯作者：
Han Maoan
中科院分区：
文献类型：
--
作者：
Tian Yun;Han Maoan
研究受扰平面Hamilton系统极限环的同宿分支。假设一个同宿环定义为H= hs。我们的主要结果是建立了一种计算Melnikov函数在h= hs处展开式系数的新方法。利用这些系数，可以在同宿环周围找到更多的极限环。最后给出了一个例子来说明我们的方法。
We study homoclinic bifurcation of limit cycles in perturbed planar Hamiltonian systems. Suppose that a homoclinic loop is defined by H= h s. Our main result is that a new method is established for computing the coefficients of the expansion of Melnikov functions at h= h s. Then by using those coefficients, more limit cycles would be found around homoclinic loops. An example is also provided to illustrate our method.