Multiple coexisting analysis of a fractional-order coupled memristive system and its application in image encryption

Yongbing Hu, Qian Li, Dawei Ding, Li Jiang, Zongli Yang, Hongwei Zhang and Zhixin Zhang

Chaos, Solitons & Fractals, 2021, vol. 152, issue C

Abstract: In this paper, a fractional-order chaotic circuit with different coupled memristors is established. The dimensionality of the system is reduced by the flux-charge analysis method and the stability of the equilibrium points is analyzed by the fractional-order stability theory. Then, the complex dynamic behaviors, including periodic and chaotic attractors, period doubling bifurcation orbit, coexistence bifurcation, and asymmetric coexisting attractors, are studied by phase diagrams, bifurcation portraits, Lyapunov exponent spectra, and attractive basins. Moreover, the analog circuit of the fractional-order coupled system is constructed and the results validate the correctness of the theoretical analysis. Finally, a novel encryption scheme based on the fractional-order coupled memristive system combined with Josephus traversal and DNA operations is proposed. The simulation results show that this algorithm has a good effect.

Keywords: Fractional-order; Coupled memristors; Image encryption; DNA encoding; Josephus traversal (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921006883

DOI: 10.1016/j.chaos.2021.111334

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