An improved Hénon map based on G-L fractional-order discrete memristor and its FPGA implementation

Wang, Huihai; Li, Guang; Sun, Kehui; He, Shaobo

doi:10.1140/epjp/s13360-024-04924-7

Cited by 9 publications

(1 citation statement)

References 53 publications

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“…Peng et al [32] coupled discrete G-L fracmemristors to Logistic map and Tent map to obtain hyperchaotic maps. Wang et al [33] coupled another discrete G-L fracmemristor to Hénon map, and the simulation results show that the coupling effect is better when the order is a fraction. Based on the G-L and Caputo difference operator, He et al [34] designed two DFMs and applied them to Sine map, and the simulation results by using short-term memory effect show that the designed fractional-order maps have higher complexity than the original Sine map.…”

Section: Introductionmentioning

confidence: 99%

Design of a discrete memristive chaotic map: fractional-order memory, dynamics and application

Wang,

Xin,

et al. 2024

Phys. Scr.

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In this paper, a discrete fracmemristor (DFM) model is derived based on the Caputo difference, and a new fractional-order chaotic map is designed. Dynamics of proposed map is investigated in detail by means of Lyapunov exponent spectra, bifurcation diagrams, PE complexity and multistability analyses. Compared with the coupled discrete integer-order memristor (DIM), the map coupled with the DFM products richer dynamics, including larger attractor distribution, less numerically periodic windows, and higher complexity. Besides, the order becomes additional bifurcation parameter. Finally, the proposed map is implemented on Field-Programmable Gate Array (FPGA) platform, and applied in a pseudorandom number generator (PRNG), which further demonstrate its application value.

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Section: Introductionmentioning

confidence: 99%