This paper aims at a historical and pedagogical presentation of some important contributions of the research on thermonuclear fusion by magnetic confinement to the study of Hamiltonian chaos. This chaos is defined with the help of Poincaré maps on a simple two-wave Hamiltonian system. A simple criterion for computing the transition to large scale chaos is introduced. A renormalization group approach for barriers in phase space is described pictorially. The geometrical structure underlying chaos is introduced, and then described in the adiabatic limit of Hamiltonian chaos. The issue of chaotic transport is discussed in simple limit cases.

中文翻译：

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从热核聚变到哈密顿混沌

本文旨在以历史和教学的方式介绍磁约束热核聚变研究对哈密顿混沌研究的一些重要贡献。在简单的两波哈密顿系统上，借助庞加莱地图定义了这种混乱状态。介绍了计算向大规模混沌过渡的简单准则。图中描述了相空间中势垒的重归一化组方法。介绍了混沌的基本几何结构，然后在哈密顿混沌的绝热极限中进行了描述。在简单的极限情况下讨论了混沌运输的问题。