https://doi.org/10.1140/epjp/s13360-025-06665-7
Regular Article
Dynamic behavior analysis and implementation of a three-memristor hyperchaotic system based on nonlinear functions
1
College of Big Data and Information Engineering, Guizhou University, 550025, Guiyang, China
2
College of Electronics and Information Engineering, Anshun University, 561000, Anshun, China
a
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b
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Received:
1
May
2025
Accepted:
16
July
2025
Published online:
6
August
2025
Abstract
Aiming at the problems of complex structure, limited parameter adjustment range, and low entropy value of the existing multi-memristor chaotic system, a new hyperchaotic system based on multi-type memristor coupling is proposed in this paper. Further, these three memristors are coupled to the Jerk chaotic system, and a four-dimensional three-memristor hyperchaotic system mathematical model is established. Through theoretical analysis of the equilibrium point of the system and its stability conditions, a cooperative mechanism of shared internal variables is proposed, which significantly improves the dynamic complexity while maintaining the simplicity of the four-dimensional system structure. Numerical simulation shows that the system has a wide parameter adaptation range and can flexibly realize the switching between periodic state and hyperchaotic state. In addition, this system exhibits rich dynamic characteristics such as multi-stable coexistence and amplitude regulation. Compared with the traditional memristive chaotic system, this system obtains better complexity and security while maintaining the advantages of a simple structure. The experimental verification based on the STM32 hardware platform shows that the system has excellent bias control ability. Combined with the numerical analysis results, it can be seen that its pseudospectral entropy and sample entropy performance are excellent, which can provide high-performance chaotic signals for security communication and other fields.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
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.
