 Chaotic dynamics of discrete memristor-coupled Sinh mapMohammad Saeed Feali Chaos, Solitons & Fractals, 2025, vol. 196, issue C Abstract: In this study, a novel discrete memristor-coupled hyperbolic sine (Sinh) map is proposed for the generation of complex chaotic dynamics. The system integrates a discrete memristor model with a hyperbolic sine-based chaotic map, resulting in a two-dimensional system exhibiting complex chaotic dynamics with increased entropy and Lyapunov exponent values. Analytical and numerical results demonstrate the map's ability to produce chaos and hyperchaos through period-doubling bifurcations, as verified by Lyapunov exponent analysis and bifurcation diagrams. The digital implementation of the proposed map was achieved using piecewise linear approximations of the Sinh function to reduce computational complexity and improve real-time processing efficiency. Experimental evaluations suggest that the proposed map reduces implementation cost and increases processing speed compared to prior models. The system's ability to exhibit complex chaotic behavior suggests potential applications in secure communication and random number generation. Keywords: Discrete memristor; Hyperbolic sine map; Chaos; Bifurcation; FPGA implementation (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:196:y:2025:i:c:s096007792500493x DOI: 10.1016/j.chaos.2025.116480 Access Statistics for this article Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros More articles in Chaos, Solitons & Fractals from Elsevier |
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