In this paper, a novel third-order autonomous memristor-based chaotic circuit is proposed. The circuit has simple topology and contains only four elements including one linear negative impedance converter-based resistor, one linear capacitor, one linear inductor, and one nonlinear current-controlled memristor. Firstly, the voltage-current characteristic analysis of the memristor emulator for different driving amplitudes and frequencies are presented. With dimensionless system, the symmetry, equilibrium point and its stability are analysed. It is shown that the system has two unstable saddle-foci and one unstable saddle. A set of typical parameters are chosen for the generation of chaotic attractor. Differing from the common period-doubling bifurcation route in smooth dynamical systems, this memristive system shows abrupt transition from the coexisting period-1 limit cycles to robust chaos when varying system parameters. Various dynamical behaviors are analysed using the numerical simulations and circuit verifications.

本文提出了一种新颖的基于三阶自主忆阻器的混沌电路。该电路拓扑简单，仅包含四个元件，包括一个基于线性负阻抗转换器的电阻器，一个线性电容器，一个线性电感器和一个非线性电流控制忆阻器。首先，针对不同的驱动幅度和频率，提出了忆阻器仿真器的电压-电流特性分析。对于无量纲系统，分析了系统的对称性，平衡点及其稳定性。结果表明，该系统具有两个不稳定的鞍形焦点和一个不稳定的鞍形焦点。选择一组典型参数以产生混沌吸引子。与平滑动力系统中常见的周期倍增分叉路线不同，当改变系统参数时，该忆阻系统显示出从共存的期间1极限周期突然转变为鲁棒的混乱状态。使用数值模拟和电路验证分析了各种动力学行为。