By using variational methods, we obtain the existence of homoclinic orbits for perturbed Hamiltonian systems with sub-linear terms. To the best of our knowledge, there is no published result focusing on the perturbed and sub-linear Hamiltonian systems.

中文翻译：

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具有扰动项的亚线性哈密顿系统的同宿轨道

通过使用变分方法，我们获得了带有亚线性项的被摄动的哈密顿系统的同宿轨道的存在。据我们所知，没有关于扰动和亚线性哈密顿系统的公开结果。