In this paper, we report a novel memristor-based cellular neural network (CNN) without equilibrium points. Dynamical behaviors of the memristor-based CNN are investigated by simulation analysis. The results indicate that the system owns complicated nonlinear phenomena, such as hidden attractors, coexisting attractors, and initial boosting behaviors of position and amplitude. Furthermore, both heterogeneous multistability and homogenous multistability are found in the CNN. Finally, Multisim circuit simulations are performed to prove the chaotic characteristics and multistability of the system.

中文翻译：

---

基于忆阻器的细胞神经网络中的隐藏多重稳定性

在本文中，我们报告了一种新型的基于忆阻器的细胞神经网络（CNN），它没有平衡点。通过仿真分析研究了基于忆阻器的CNN的动力学行为。结果表明，该系统具有复杂的非线性现象，例如隐藏的吸引子，共存的吸引子以及位置和振幅的初始增强行为。此外，在CNN中发现了异构多重稳定性和均匀多重稳定性。最后，进行Multisim电路仿真，以证明系统的混沌特性和多重稳定性。