摘要 : Due to the nonlinearity with inner state, memristors have been applied in vast continuous dynamical systems. However, the application of memristors in discrete dynamical systems has not received enough attention, yet. Toward this ... 展开 Due to the nonlinearity with inner state, memristors have been applied in vast continuous dynamical systems. However, the application of memristors in discrete dynamical systems has not received enough attention, yet. Toward this end, this paper presents a three-dimensional (3D) memristive Henon map by coupling a memristor to the classical Henon map. Using numerical measures, the memristor effects on the presented map are exhibited and the complex dynamical behaviors with multistability are disclosed therein. Particularly, since the presented map has no invariant points, a dimension-reduction conversion method is proposed to investigate its properties and its hidden Neimark-Sacker bifurcations are effectively interpreted. The results demonstrate that the introduction of discrete memristor makes the presented map own complex hidden dynamical behaviors, which greatly enhances the fractal structure complexity of the chaotic attractors. In addition, a digital hardware set is exploited to implement the 3D memristive Henon map and the chaotic attractors are physically acquired thereby. 收起