By introducing a memristor into a chaotic system with a single non-quadratic term and substituting an absolute value function for conditional symmetry, a unique chaotic system is constructed. Firstly, the system shares a special structure of symmetry and conditional symmetry. Secondly, the amplitude and frequency of the system variables can be rescaled by the applied memristor. Interestingly it gives a new case of attractor control namely partial amplitude control and global frequency control. At last, as a new regime of extreme multistability, the memristive system shows relatively simple bifurcation according to the initial condition. This new class of chaotic system has never been reported to the best of our knowledge.

中文翻译：

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具有幅度和频率控制的条件对称忆阻系统

通过将忆阻器引入具有单个非二次项的混沌系统中，并用绝对值函数代替条件对称性，可以构建唯一的混沌系统。首先，系统共享对称和条件对称的特殊结构。其次，系统变量的幅度和频率可以通过所应用的忆阻器来重新定标。有趣的是，它给出了吸引子控制的一种新情况，即部分幅度控制和全局频率控制。最后，作为一种新的极端多重稳定性制度，忆阻系统根据初始条件显示出相对简单的分叉。据我们所知，从未报道过这种新型的混沌系统。