期刊
CHAOS SOLITONS & FRACTALS
卷 137, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2020.109873
关键词
Chaos; Discrete memristor model; Henon map; Spectral entropy complexity
资金
- National Natural Science Foundation of China [61161006, 61573383 and61901530]
- Key Innovation Project of Graduate of Central South University [2018ZZTS009]
- China Postdoctoral Science Foundation [2019M652791]
- Postdoctoral Innovative Talents Support Program [BX20180386]
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 Henon map, and we designed a new chaotic map called the discrete memristor-based Henon 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 Henon map is improved by applying the discrete memristor. (C) 2020 Elsevier Ltd. All rights reserved.
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