Two Modified Chaotic Maps Based on Discrete Memristor Model

• Published in: Symmetry (Basel) Vol. 14; no. 4; p. 800
• Main Authors: Li, Guodong, Zhong, Huiyan, Xu, Wenxia, Xu, Xiangliang
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01-04-2022
• Subjects: Behavior; Chaos theory; Complexity; discrete memristor; discrete memristor-based chaotic map; Liapunov exponents; Mathematical models; Memristors; Simulink model; Trajectory analysis
• ISSN: 2073-8994; 2073-8994
• DOI: 10.3390/sym14040800

The discrete memristor has aroused increasing interest. In this paper, two discrete memristors with cosine with amplitude memristance are designed based on the discrete memristor model. The Simulink models of the two discrete memristors are built to verify that they meet the definition of the memristor. To improve the dynamic of a classic chaotic map, the discrete memristors are introduced into two chaotic maps: a Logistic map and a Hénon Map. Through the trajectory analysis, Lyapunov exponent, bifurcation diagram, and complexity analysis, it is shown that discrete memristors can indeed make the dynamical behaviors of chaotic maps richer and more complex.