A memristive chaotic system of rotational symmetry is constructed and analysed. The dynamical behaviour of the system is demonstrated by phase trajectories, Lyapunov exponents and bifurcation diagrams. Coexisting attractors are observed and a simple approach for amplitude control is proposed according to the specific structure. It shows that this symmetric memristive system has partial amplitude control when a control function is introduced. The corresponding circuit implementation is given by generating a symmetric pair of chaotic attractors. Circuit results agree well with the theoretical analysis and numerical simulation.

中文翻译：

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忆阻系统共存混沌吸引子及其振幅控制

构建并分析了旋转对称的忆阻混沌系统。系统的动力学行为通过相轨迹、李雅普诺夫指数和分岔图来证明。观察到共存的吸引子，并根据具体结构提出了一种简单的幅度控制方法。这表明当引入控制函数时，该对称忆阻系统具有部分幅度控制。通过生成一对对称的混沌吸引子给出了相应的电路实现。电路结果与理论分析和数值模拟吻合。