By diode bridging an inductor to implement a memristor bipole, with active Wien-bridge oscillator, a simple and feasible third-order autonomous memristive chaotic oscillator is presented. The dynamical characteristics of the proposed circuit are investigated both theoretically and numerically, from which it can be found that the circuit has one unstable equilibrium point. Through the analysis of the bifurcation diagram, Lyapunov exponent spectrum and the 0–1 test chaos detection, it is shown that this system displays limit cycle orbit with different periodicity, quasi-periodic behavior, chaotic behavior and bursting behavior. The bursting behavior found in this circuit is periodic, quasi-periodic and chaotic bursting. We confirm the feasibility of the proposed theoretical model using Pspice simulations and a physical realization based on an electronic analog implementation of the model.

通过二极管桥接电感实现忆阻器双极子，结合有源文氏桥振荡器，提出了一种简单可行的三阶自主忆阻混沌振荡器。对所提出电路的动态特性进行了理论和数值研究，从中可以发现该电路具有一个不稳定的平衡点。通过对分岔图、李雅普诺夫指数谱和0-1测试混沌检测的分析表明，该系统表现出不同周期性、准周期性、混沌性和突发性行为的极限环轨道。在该电路中发现的突发行为是周期性、准周期性和混沌突发。