Abstract We consider the model of a point-vortex under a periodic perturbation and give sufficient conditions for the existence of generalized quasi-periodic solutions with rotation number. The proof relies on Aubry-Mather theory to obtain the existence of a family of minimal orbits of the Poincare map associated to the system.

中文翻译：

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扭曲动力学和 Aubry-Mather 围绕周期性扰动的点涡旋设置

摘要 我们考虑了周期性摄动下的点涡模型，给出了具有旋转数的广义拟周期解存在的充分条件。该证明依赖于 Aubry-Mather 理论来获得与系统相关的 Poincare 映射的最小轨道族的存在性。