https://doi.org/10.1140/epjp/s13360-024-05643-9
Regular Article
A novel chaotification method for discrete memristors
1
School of Electronics Information, Central South University, 410083, Changsha, China
2
School of Physics, Central South University, 410083, Changsha, China
Received:
7
August
2024
Accepted:
10
September
2024
Published online:
17
September
2024
To improve the performance of discrete chaotic maps, a novel chaotification method based on discrete memristors (DMs) is proposed by applying modular operation and introducing a bias parameter in this paper. The dynamics of the new memristive chaotic maps are analyzed through iterative sequence diagrams, bifurcation diagrams, attractors, sample entropy (SE) complexity, and Lyapunov exponent (LE). We investigate the effects of modulus m and bias parameter b on system performance, and the results show that the designed maps have spiking and chaotic behaviors, wide parameter chaotic range, high complexity, and large LE. Furthermore, such chaotic maps are implemented on the digital signal processor (DSP) platform and utilized for generating pseudo-random numbers (PRNG) to demonstrate their potential applications.
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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.
