Dynamic Analysis and Field-Programmable Gate Array Implementation of a 5D Fractional-Order Memristive Hyperchaotic System with Multiple Coexisting Attractors

Fractal and Fractional, Journal Year: 2024, Volume and Issue: 8(5), P. 271 - 271

Published: May 1, 2024

On the basis of chaotic system proposed by Wang et al. in 2023, this paper constructs a 5D fractional-order memristive hyperchaotic (FOMHS) with multiple coexisting attractors through coupling magnetic control memristors and dimension expansion. Firstly, divergence, Kaplan–Yorke dimension, equilibrium stability model are studied. Subsequently, we explore construction FOMHS, introducing definitions Caputo differential operator Riemann–Liouville integral employing Adomian resolving approach to decompose linears, nonlinears, constants system. The complex dynamic characteristics analyzed phase diagrams, Lyapunov exponent spectra, time-domain etc. Finally, hardware circuit FOMHS is performed FPGA, its randomness verified using NIST tool.

Language: Английский

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Hyperchaos of neuron under local active discrete memristor simulating electromagnetic radiation

Chaos An Interdisciplinary Journal of Nonlinear Science, Journal Year: 2024, Volume and Issue: 34(1)

Published: Jan. 1, 2024

Memristor enables the coupling of magnetic flux to membrane voltage and is widely used investigate response characteristics neurons electromagnetic radiation. In this paper, a local active discrete memristor constructed study effect radiation on dynamics neurons. The research results demonstrate that increasing intensity could induce hyperchaotic attractors. Furthermore, neuron model generates three points coexistence attractors with introduction memristor. A digital circuit designed implement evaluate randomness its output sequence. Neuronal models exhibit rich dynamic behavior electrical stimulation, which can provide new directions for exploring production mechanisms certain neurological diseases.

Language: Английский

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Families of propagating soliton solutions for (3+1)-fractional Wazwaz-BenjaminBona-Mahony equation through a novel modification of modified extended direct algebraic method

Physica Scripta, Journal Year: 2024, Volume and Issue: 99(4), P. 045230 - 045230

Published: March 14, 2024

Abstract The article presents a new modification to the modified Extended Direct Algebraic Method (mEDAM) namely r +mEDAM effectively and precisely acquire propagating soliton other travelling wave solutions Fractional Wazwaz-Benjamin-Bona-Mahony (FWBBM) equation. By using this updated approach, we are able find more families of for FWBBM problem, such as soliton, kink, lump-like singular, trigonometric, hyperbolic, periodic, shock, singular & non-singular solutions. We also provide 3D 2D graphs that visually illustrate obtained obtaining accurate solutions, our proves be practical while revealing important details about dynamics equation suggesting possible applications in fields optics, materials research, water waves.

Language: Английский

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Dynamic Analysis, Image Encryption Application and FPGA Implementation of a Discrete Memristor-Coupled Neural Network

International Journal of Bifurcation and Chaos, Journal Year: 2024, Volume and Issue: 34(06)

Published: May 1, 2024

This paper presents a novel discrete memristor model that incorporates exponential and absolute value functions. A coupled neural network is constructed based on this design. The periodic chaotic regions of the are determined using bifurcation Lyapunov exponent spectrum. Furthermore, by varying initial values memristive network, we observe coexistence chaos attractors, as well attractors. Additionally, an application to color image encryption system given. Security analysis conducted in aspects key space, histogram analysis, correlation sensitivity Peak Signal-to-Noise Ratio (PSNR), information entropy analysis. results show algorithm has space size [Formula: see text], baboon graph 7.9993, which very close ideal 8. It shows feasible effective. Finally, implementation realized Field Programmable Gate Array (FPGA). experimental Verilog language Vivado 2018.3 platform, obtained align with numerical simulation through MATLAB.

Language: Английский

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Analysis of the Dynamical Behavior of Discrete Memristor-Coupled Scale-Free Neural Networks

Chinese Journal of Physics, Journal Year: 2024, Volume and Issue: 91, P. 966 - 976

Published: Aug. 27, 2024

Language: Английский

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