A discrete memristor model and its application in Hénon map. (August 2020)

• Record Type: Journal Article
• Authors: Peng, Yuexi; Sun, Kehui; He, Shaobo
• Is Part Of: Chaos, solitons and fractals. Volume 137(2020)
• Publication Date: 2020-08
• Subjects: Chaos -- Discrete memristor model -- Hénon map -- Spectral entropy complexity; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2020.109873
• Languages: English
• ISSNs: 0960-0779

Abstract

Highlights: A discrete memristor model is proposed from mathematics angle. This discrete model satisfies the definition of the generalized memristor. A discrete memristor-based Hénon map is designed. The proposed new model shows good application prospects. Abstract: The realization of real memristor makes it be a very popular topic in recent years. However, the topic about discrete memristor model is rarely discussed. In this paper, a discrete memristor model is proposed based on the difference theory, and the three fingerprints characteristics are proved for this model according to the definition of the generalized memristor. This discrete model is applied to Hénon map, and we designed a new chaotic map called the discrete memristor-based Hénon map. Its dynamical behaviors are analyzed by attractor phase diagram, bifurcation diagram, Lyapunov exponent spectrum, and spectral entropy complexity algorithm. Simulation results show the performance of Hénon map is improved by applying the discrete memristor.