In this present contribution, a simple chaotic oscillator based on a memcapacitor with only one equilibrium point is reported. The proposed oscillator consists of an inductor (only storage element) and a nonlinear active memcapacitor which is the key component responsible for the complex behaviors exhibited by the circuit. The resulting mathematical model is a simple jerk-type equation system that is easy to manipulate both analytically and numerically. The numerical results reveal the emergence of a plethora of phenomena such as period-doubling bifurcations, antimonotonicity, offset-boosting, and multistability giving rise to several kinds of coexisting attractors among which the coexistence of six stable states. The PSpice investigations confirm the real feasibility of the proposed circuit. The complexity of the phenomena and behaviors observed make the particularity of the proposed memcapacitor–inductor circuit and thus constitutes an enriching contribution in nonlinear dynamics.

在本发明的贡献中，报道了一种基于仅具有一个平衡点的电容器的简单混沌振荡器。拟议的振荡器由一个电感器（仅存储元件）和一个非线性有源膜电容器组成，这是负责电路表现出复杂行为的关键组件。生成的数学模型是一个简单的加加速度类型方程组，该系统易于进行分析和数值操作。数值结果表明，出现了许多现象，例如周期倍增分叉，反单调性，偏移补偿性和多重稳定性，从而产生了几种共存的吸引子，其中六个稳定状态并存。PSpice的调查证实了该电路的实际可行性。