A Memristive Hénon Map Based on the State Variable Difference and Its Analog Circuit Implementation
Longxiang Fu, Xianming Wu, Shaobo He, Huihai Wang, Kehui Sun
Abstract
In this article, an improved memristive Hénon map is proposed by using the state variable difference instead of the state variable itself as the input of a discrete memristor. As a result, the cumulative module in the discrete memristor can avoid divergence. The bifurcation diagrams, Lyapunov exponent spectrums, and sample entropy complexity analysis results show that the system has rich dynamical behaviors. In addition, analog circuits of the discrete memristor and the memristive chaotic map are designed for the first time. PSIM circuit simulations and breadboard experiments verify the effectiveness of the proposed models. The analog circuits indicate the physical realizability of the discrete memristor. It lays the foundation for the applications of discrete memristor and helps to explain their physics significance.