Memristors play a vital role in the design of high density and low power memory devices. Considering the complex behaviour of memristor devices because of the feature that its memductance changes with the input current, these devices finds its applications in design of nonlinear circuits. Similarly, Josephson junction resonators also exhibit complex behaviours because of its inductive properties. To model the effect of magnetic flux effects on the Josephson junction devices, we introduce the memristor to produce the feedback effect between magnetic flux and junction potential. Such a circuit produce interesting complex behaviours and hence in this paper we propose a nonlinear chaotic oscillator in a memristor-Josephson junction combination. Due to the variation laws of the flux-controlled memductance, it will not always be the same when the excitation voltage changes and hence have their drawbacks in real word applications. Considering this, we use an exponential memristor which overcomes this problem and hence can be used in physical applications. By varying the type of the bias current, we could observe the property of megastability in the memristor-Josephson junction oscillator (when excited by an AC current), which was not been observed in real physical circuits. To show the applicational benefits of the proposed oscillator, we have discussed about the synchronisation of the master-slave memristor-Josephson junction oscillators and used it in secure communication systems.

忆阻器在高密度和低功耗存储设备的设计中起着至关重要的作用。考虑到忆阻器器件的导通随输入电流而变化的特性，这些器件在复杂的非线性电路设计中得到了应用。同样，约瑟夫逊结谐振器由于其电感特性也表现出复杂的行为。为了模拟磁通量效应对约瑟夫森结器件的影响，我们引入了忆阻器来产生磁通量和结势之间的反馈效应。这样的电路会产生有趣的复杂行为，因此在本文中，我们提出了忆阻器-约瑟夫逊结组合中的非线性混沌振荡器。由于磁通量控制的变化规律，当激励电压变化时，它并不总是相同的，因此在实际的文字应用中有其缺点。考虑到这一点，我们使用了克服此问题的指数忆阻器，因此可以在物理应用中使用。通过改变偏置电流的类型，我们可以观察到忆阻器-约瑟夫森结振荡器（由交流电激发时）的超稳定性，这在实际的物理电路中没有观察到。为了展示所提出的振荡器的应用优势，我们讨论了主从忆阻器-约瑟夫逊结振荡器的同步，并将其用于安全通信系统中。我们使用了克服此问题的指数忆阻器，因此可以在物理应用中使用。通过改变偏置电流的类型，我们可以观察到忆阻器-约瑟夫森结振荡器（由交流电激发时）的超稳定性，这在实际的物理电路中没有观察到。为了展示所提出的振荡器的应用优势，我们讨论了主从忆阻器-约瑟夫逊结振荡器的同步，并将其用于安全通信系统中。我们使用了克服此问题的指数忆阻器，因此可以在物理应用中使用。通过改变偏置电流的类型，我们可以观察到忆阻器-约瑟夫森结振荡器（由交流电激发时）的超稳定性，这在实际的物理电路中没有观察到。为了展示所提出的振荡器的应用优势，我们讨论了主-从忆阻器-约瑟夫逊结振荡器的同步，并将其用于安全通信系统中。