周期轨道通过褶皱的实验延拓
Experimental continuation of periodic orbits through a fold
摘要：
我们提出了一个连续的方法，使一个跟踪或继续分支的周期轨道直接在实验中，当参数被改变。基于控制的设置与牛顿迭代相结合，确保了周期轨道即使在不稳定的情况下也可以继续。这是证明了最初稳定的旋转的垂直被迫摆实验通过一个折叠分叉，找到分支的不稳定部分的延续。
英文摘要：
We present a continuation method that enables one to track or continue branches of periodic orbits directly in an experiment when a parameter is changed. A control-based setup in combination with Newton iterations ensures that the periodic orbit can be continued even when it is unstable. This is demonstrated with the continuation of initially stable rotations of a vertically forced pendulum experiment through a fold bifurcation to find the unstable part of the branch.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
