Systematic experimental exploration of bifurcations with noninvasive control
Systematic experimental exploration of bifurcations with noninvasive control
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DOI：
10.1103/physreve.87.052916
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发表时间：
2013-05-28
影响因子：
2.4
通讯作者：
Sieber, J.
中科院分区：
文献类型：
--
作者：
Barton, D. A. W.;Sieber, J.
提出了一种系统研究物理非线性实验动力学和分岔的一般方法。特别是，我们展示了如何在流行的非侵入性控制方案，如（金字塔）时间延迟或冲洗过滤反馈控制，固有的奇数限制，可以克服跟踪平衡或强迫周期轨道的实验。为了证明我们的非侵入性控制的使用，我们跟踪实验的共振表面的周期性强迫机械非线性振荡器附近的不稳定的发病，围绕两个鞍结分叉（褶皱）和尖点分叉。
We present a general method for systematically investigating the dynamics and bifurcations of a physical nonlinear experiment. In particular, we show how the odd-number limitation inherent in popular noninvasive control schemes, such as (Pyragas) time-delayed or washout-filtered feedback control, can be overcome for tracking equilibria or forced periodic orbits in experiments. To demonstrate the use of our noninvasive control, we trace out experimentally the resonance surface of a periodically forced mechanical nonlinear oscillator near the onset of instability, around two saddle-node bifurcations (folds) and a cusp bifurcation.