期刊
MATHEMATICS
卷 10, 期 19, 页码 -出版社
MDPI
DOI: 10.3390/math10193426
关键词
memristor-base Lozi map; discrete memristor; dynamical effect; hidden hyperchaos; multistability
类别
资金
- National Natural Science Foundation of China [12172066]
- Scientific Research Foundation of Jiangsu Provincial Education Department, China [22KJB510001]
This article proposes a new discrete memristor-based Lozi map that can generate hidden hyperchaos. The dynamical effects of the discrete memristor on the map and the existence of hidden attractors are demonstrated.
Recently, the application of memristors to improve chaos complexity in discrete chaotic systems has been paid more and more attention to. To enrich the application examples of discrete memristor-based chaotic systems, this article proposes a new three-dimensional (3-D) memristor-based Lozi map by introducing a discrete memristor into the original two-dimensional (2-D) Lozi map. The proposed map has no fixed points but can generate hidden hyperchaos, so it is a hidden hyperchaotic map. The dynamical effects of the discrete memristor on the memristor-based Lozi map and two types of coexisting hidden attractors boosted by the initial conditions are demonstrated using some numerical methods. The numerical results clearly show that the introduced discrete memristor allows the proposed map to have complicated hidden dynamics evolutions and also exhibit heterogeneous and homogeneous hidden multistability. Finally, a digital platform is used to realize the memristor-based Lozi map, and its experimental phase portraits are obtained to confirm the numerical ones.
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