Complex dynamics and encryption application of a 3D dual-memristor oscillatory hyperchaotic map

Qiang Lai, Chongkun Zhu, Minghong Qin and Zhiqiang Wan

Mathematics and Computers in Simulation (MATCOM), 2025, vol. 236, issue C, 270-283

Abstract: Unlike high-dimensional hyperchaotic maps constructed using continuous memristors (CMs), discrete memristors (DMs) are widely favored by researchers because of their unique advantages. In view of this, a novel memristive hyperchaotic map by applying a sinusoidal transformation to one DM and paralleling it with another, while introducing the simple oscillatory term has been proposed. This map exhibits significant structural characteristics, particularly without fixed points. Numerical simulations reveal the dynamical behaviors that dependent on control parameters and the presence of infinite hidden coexisting attractors related to initial values. Furthermore, the map has been successfully applied in the design of a pseudorandom number generator (PRNG). A microcontroller-based digital hardware platform has also been developed to implement this map. Lastly, the application of the map in image encryption provides valuable insights into the use of discrete memristive maps in chaos engineering.

Keywords: Hyperchaotic maps; Discrete memristors; Hidden coexisting attractors; Hardware platform; Image encryption (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:236:y:2025:i:c:p:270-283

DOI: 10.1016/j.matcom.2025.04.005

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