论文标题
非线性动力学的数值分析技术
Numerical analysis techniques for non-linear dynamics
论文作者
论文摘要
此贡献的内容基于非线性动力学数值分析技术课程。在将基本概念作为对相空间中轨迹的视觉分析以及固定点在其拓扑和动力学中的性质的重要性之后，就呈现了接近共振的运动，并提供了简单的非线性地图示例。混乱运动的发作和用于检测的现代方法的详细介绍了频率图分析和各种环和非线性效应的具体示例。
The content of this contribution is based on the course on numerical analysis techniques for non-linear dynamics. After introducing basic concepts as the visual analysis of trajectories in phase space and the importance of the nature of fixed points in their topology and dynamics, the motion close to a resonance is presented, with simple non-linear map examples. The onset of chaotic motion and the modern methods used for their detection are detailed with a focus on frequency map analysis and concrete examples for a variety of rings and non-linear effects.
