In the current study, we explore the sensitivity of the actuation dynamics of electromechanical systems on novel materials, e.g., Bi₂Se₃, which is a well-known 3D Topological Insulator (TI), and compare their response to metallic conductors, e.g., Au, that are currently used in devices. Bifurcation and phase portraits analysis in conservative systems suggest that the strong difference between the conduction states of Bi₂Se₃ and Au yields sufficiently weaker Casimir force to enhance stable operation. Furthermore, for nonconservative driven systems, the Melnikov function and Poincare portrait analysis probed the occurrence of chaotic behavior leading to increased risk for stiction. It was found that the presence of the TI enhanced stable operation against chaotic behavior over a significantly wider range of operation conditions in comparison to typical metallic conductors. Therefore, the use of TIs can allow sufficient surface conductance to apply electrostatic compensation of residual contact potentials and, at the same time, to yield sufficiently weak Casimir forces favoring long-term stable actuation dynamics against chaotic behavior.

中文翻译：

---

卡西米尔振荡器对混沌的非线性驱动：拓扑绝缘子和金属的比较

在当前的研究中，我们探索机电系统的驱动动力学对新型材料（例如著名的3D拓扑绝缘体（TI）的Bi ₂ Se _3）的敏感性，并比较它们对金属导体（例如， Au，当前在设备中使用。在保守系统中的分叉和相像分析表明，Bi ₂ Se ₃的导电状态之间存在很强的差异Au产生足够弱的Casimir力以增强稳定运行。此外，对于非保守的驱动系统，梅尔尼科夫函数和庞加莱肖像分析探讨了混乱行为的发生，从而导致了增加的附着风险。已经发现，与典型的金属导体相比，TI的存在在很大范围的工作条件下增强了针对混沌行为的稳定工作。因此，使用TI可以允许足够的表面电导来对残余接触电势施加静电补偿，同时产生足够弱的卡西米尔力，从而有利于长期稳定的动态动力学来抵抗混沌行为。