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本文继续研究接近３：１共振映射扰动Ｈａｍｉｌｔｏｎ向量场，用新的方法讨论了当参数满足条件ａ＞０，４ａｂ＝１时扰动向量场的分枝情况。
In this paper, we study the perturbation Hamiltonian field close to the 3: 1 resonance mapping, and discuss the branching of the perturbed vector field when the parameters satisfy the condition a> 0, 4ab = 1 with a new method.