In this paper we discuss the presence of chaotic dynamics of charged particles inside an idealized magnetic field, suggested by a tokamak type configuration. Our model is based on a periodically perturbed Hamiltonian system in a half-plane $r>0.$ We propose a simple mechanism producing complex dynamics, based on the theory of Linked Twist Maps jointly with the method of stretching along the paths. A key step in our argument relies on the monotonicity of the period map associated with the unperturbed planar system.

中文翻译：

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带电粒子在磁场中运动的混沌动力学示例

在本文中，我们讨论了理想磁场中带电粒子的混沌动力学的存在，这是由托卡马克类型的构造所暗示的。我们的模型基于半平面上的周期摄动哈密顿系统$\mathrm{[R}>0。$我们基于链接扭曲贴图理论以及沿路径拉伸的方法，提出了一种产生复杂动力学的简单机制。我们论证中的关键步骤依赖于与不受扰动的平面系统相关的周期图的单调性。