期刊
PHYSICAL REVIEW E
卷 87, 期 5, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.87.052916
关键词
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资金
- EPSRC [EP/J010820/1]
- Engineering and Physical Sciences Research Council [EP/K032739/1, EP/J010820/1] Funding Source: researchfish
- EPSRC [EP/K032739/1, EP/J010820/1] Funding Source: UKRI
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.
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