Experimental study of complex mixed-mode oscillations generated in a Bonhoeffer-van der Pol oscillator under weak periodic perturbation.
Experimental study of complex mixed-mode oscillations generated in a Bonhoeffer-van der Pol oscillator under weak periodic perturbation.
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Bonhoeffer-van der Pol 振荡器在弱周期扰动下产生的复杂混合模式振荡的实验研究。
作者：
K. Shimizu;M. Sekikawa;N. Inaba
在化学实验中经常观察到复杂混合模振荡的分岔现象，称为混合模振荡递增分岔（MMOIB）。在以前的研究中[K。Shimizu等人，Physica D 241，1518（2012）]，我们发现了一个非常简单的动态电路，展示了MMOIB。我们的模型表示为一个慢/快的Bonhov-van der Pol电路弱周期扰动附近的一个亚临界Andronov-Hopf分岔点。在这项研究中，我们的实验和数值验证，我们的动态电路捕获的本质的潜在机制，导致MMOIBs，我们观察到MMOIBs和混沌具有独特的波形在真实的电路实验。
Bifurcations of complex mixed-mode oscillations denoted as mixed-mode oscillation-incrementing bifurcations (MMOIBs) have frequently been observed in chemical experiments. In a previous study [K. Shimizu et al., Physica D 241, 1518 (2012)], we discovered an extremely simple dynamical circuit that exhibits MMOIBs. Our model was represented by a slow/fast Bonhoeffer-van der Pol circuit under weak periodic perturbation near a subcritical Andronov-Hopf bifurcation point. In this study, we experimentally and numerically verify that our dynamical circuit captures the essence of the underlying mechanism causing MMOIBs, and we observe MMOIBs and chaos with distinctive waveforms in real circuit experiments.
影响因子：
2.9
作者：
H. Okamoto;and Naoki Tanaka;M. Naito
通讯作者：
H. Okamoto;and Naoki Tanaka;M. Naito