Recently, it has been shown that DC–AC and AC–DC power converters whose dynamics is governed by two vastly different frequencies lead to a special class of piecewise smooth models characterized by a practically unpredictable number of switching manifolds between partitions in the state space associated with different dynamics. In the previous publications, we have shown that transformations of chaotic attractors in such models can be caused by their interactions with unstable cycles occurring in the regions of the attractors associated with an ultra-low invariant density, which is beyond a practical observability in physical or numerical experiments. The appearance of such low-density regions has been explained by the so-called spiking phenomenon. In the present paper, we make the next step and ask the natural question what are the reasons behind the appearance of spikes. Applying a novel technique (cobweb diagrams for non-autonomous maps), we explain a connection between spiking and the presence of two vastly different frequencies.

最近，已经显示出其动态性由两个截然不同的频率控制的DC-AC和AC-DC电源转换器导致了一类特殊的分段平滑模型，其特征在于与状态空间相关的分区之间的开关歧管数量实际上是不可预测的具有不同的动力。在以前的出版物中，我们已经表明，此类模型中的混沌吸引子的转换可能是由于它们与吸引子区域中发生的不稳定循环的相互作用而引起的，该不稳定循环与超低不变密度相关，这超出了物理或物理上的实际可观察​​性。数值实验。这种低密度区域的出现已经通过所谓的尖峰现象进行了解释。在本文中，我们进行下一步，并提出一个自然的问题，即出现尖峰的原因是什么。应用一种新颖的技术（非自治地图的蛛网图），我们解释了尖峰信号和两个截然不同的频率之间的联系。