Design and realization of discrete memristive hyperchaotic map with application in image encryption

Qiang Lai, Liang Yang and Yuan Liu

Chaos, Solitons & Fractals, 2022, vol. 165, issue P1

Abstract: The investigation of discrete memristive chaotic systems with complex dynamics has been an interesting and meaningful research work. This paper is devoted to constructing a hyperchaotic system with no fixed point and infinitely many coexisting attractors. The memristive Gaussian map (MGM) is coupled by a sinusoidal discrete memristor with the Gaussian map and induces extreme multistability associated with the initial state due to the import of sinusoidal nonlinearity. Creatively, the iterative number is imported into the system as a variable, which effectively boosts the complexity of its export. The most remarkable feature of the system is a large range of chaos and hyperchaos captured under multiple sets of parameters, and with various coexisting attractors. In addition, digital experiments are designed to verify the feasibility of the hardware implementation, an image encryption algorithm and PRNG are proposed based on the MGM chaotic sequence.

Keywords: Hidden attractors; Discrete memristor; Hyperchaos; Coexisting attractors; Digital experiment; Image encryption (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (18)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:165:y:2022:i:p1:s0960077922009602

DOI: 10.1016/j.chaos.2022.112781

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