https://doi.org/10.1140/epjp/s13360-024-05280-2
Regular Article
A novel memristor-coupled hyperchaotic map: dynamical analysis, linear transform control and encryption application
School of Information Science and Engineering, Dalian Polytechnic University, 116034, Dalian, China
b
caoyinghong@dlpu.edu.cn
d
moujun@dlpu.edu.cn
Received:
21
April
2024
Accepted:
16
May
2024
Published online:
4
June
2024
Continuous memristors have been widely used in various chaotic circuits as well as neuromorphic circuits, but there is a relative lack of research on discrete memristors. In this paper, a new three-dimensional memristor hyperchaotic map is proposed by coupling the discrete memristor with a simple two-dimensional map. The fixed points of the map are analysed and the dynamical behaviour of the typical parameters of the map and the initial boosting is investigated using numerical simulations. For practical engineering needs, offset boosting and amplitude control of the map are performed without destroying the basic structure of the map. Finally, a simple image encryption algorithm is designed using this three-dimensional memristor hyperchaotic mapping, which has been verified to be well randomized.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
