This Letter presents a new second-order discrete map model, which is derived from a simple sampling switch-based memristor-capacitor circuit. The memristor-based map model has infinite unstable and critical stable fixed points, and exhibits chaotic and hyperchaotic behaviours via a period-doubling bifurcation scenario. These complex dynamical behaviours are confirmed by the phase portraits, iterative sequences and basins of attraction.

中文翻译：

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基于二阶离散忆阻器的映射模型中的超混沌

这封信提出了一种新的二阶离散映射模型，该模型源自基于简单采样开关的忆阻器-电容器电路。基于忆阻器的映射模型具有无限不稳定和临界稳定不动点，并通过倍周期分岔场景表现出混沌和超混沌行为。这些复杂的动力学行为由相图、迭代序列和吸引力盆地证实。