中文摘要：

在共振情况下推广了一类6维非线性系统的广义Melniko方法，并利用几何奇异摄动理论，得到了该类6维非线性系统的Shilnikov型多脉冲同宿轨道的存在性结果。

英文摘要：

The Melnikov method was further extended in the case of resonance and the existence of Shilnikov-type multi-pulse homoclinic orbits was obtained using the theory of geometrical singular perturbation for a class of six-dimensional nonlinear system.