In this paper, we build a simple chaotic circuit by introducing a new magnetic flux-controlled memristor model. The basic dynamics, such as the type of equilibrium point, phase diagram, bifurcation diagram, and Lyapunov exponent spectrum, are studied theoretically and numerically. It is found that this memristor circuit has complex nonlinear behavior, including coexistence bifurcation, transient dynamics, and anti-monotonicity. The salient feature of the memristor chaotic circuit is that the initial conditions of both the memristor and system can realize the modulation of the position and amplitude of the attractor. To verify the chaotic characteristics of the system, an analog circuit is designed and the experimental results provide the consistency with the numerical simulation.

在本文中，我们通过引入一种新的磁通量控制忆阻器模型来构建一个简单的混沌电路。对平衡点的类型、相图、分岔图和李雅普诺夫指数谱等基本动力学进行了理论和数值研究。发现该忆阻器电路具有复杂的非线性行为，包括共存分岔、瞬态动力学和反单调性。忆阻器混沌电路的显着特点是忆阻器和系统的初始条件都可以实现对吸引子位置和幅度的调制。为验证系统的混沌特性，设计了模拟电路，实验结果与数值模拟一致。