Journal
CHAOS SOLITONS & FRACTALS
Volume 165, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2022.112781
Keywords
Hidden attractors; Discrete memristor; Hyperchaos; Coexisting attractors; Digital experiment; Image encryption
Categories
Funding
- National Natural Science Founda-tion of China
- Key Research and Develop-ment Program of Jiangxi Province of China
- Youth Key Project of Natural Science Foundation of Jiangxi Province of China
- [61961019]
- [20181BBE5 0017]
- [20202ACBL212003]
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This paper investigates discrete memristive chaotic systems with complex dynamics and constructs a hyperchaotic system with no fixed point and infinitely many coexisting attractors. It creatively introduces the iterative number as a variable to enhance the system's complexity.
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.
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