Memristor-Based Lozi Map with Hidden Hyperchaos

Jiang Wang, Yang Gu, Kang Rong, Quan Xu and Xi Zhang ()
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Jiang Wang: School of Microelectronics and Control Engineering, Changzhou University, Changzhou 213164, China
Yang Gu: School of Microelectronics and Control Engineering, Changzhou University, Changzhou 213164, China
Kang Rong: School of Microelectronics and Control Engineering, Changzhou University, Changzhou 213164, China
Quan Xu: School of Microelectronics and Control Engineering, Changzhou University, Changzhou 213164, China
Xi Zhang: School of Microelectronics and Control Engineering, Changzhou University, Changzhou 213164, China

Mathematics, 2022, vol. 10, issue 19, 1-12

Abstract: 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.

Keywords: memristor-base Lozi map; discrete memristor; dynamical effect; hidden hyperchaos; multistability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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