Stability analysis of an interrupted circuit with fast-scale and slow-scale bifurcations
Stability analysis of an interrupted circuit with fast-scale and slow-scale bifurcations
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具有快尺度和慢尺度分岔的断路电路的稳定性分析
DOI：
10.1109/peds.2013.6526980
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
T. Kousaka
中科院分区：
文献类型：
--
作者：
H. Asahara;K. Aihara;T. Kousaka
在本文中，我们分析了快尺度和慢尺度动态中断电路的稳定性。首先，我们展示了全桥逆变器，作为实际的例子，在其中观察到的快尺度和慢尺度分岔。接下来，我们将展示我们的原始电路模型并解释其动力学。利用采样数据模型，我们计算了快尺度和慢尺度动力学的稳定性。最后，我们从数学上证明了发生在快尺度动力学中的倍周期分岔并不直接影响慢尺度动力学的稳定性。
In this paper, we analyze stability of the fast-scale and slow-scale dynamics in an interrupted electric circuit. First, we show the full-bridge inverter, as the practical example, in which fast-scale and slow-scale bifurcations are observed. Next, we show our original circuit model and explain its dynamics. Using the sampled data model, we calculate stability of the fast-scale and slow-scale dynamics. Finally, we mathematically show that the period-doubling bifurcation, which occurs in the fast-scale dynamics, does not directly affect the stability of the slow-scale dynamics.