Dynamical analysis of a three-species discrete biological system with scavenger

Khan, Abdul Qadeer; Kazmi, Syed Saqlain

doi:10.1016/j.cam.2023.115644

Journal of Computational and Applied Mathematics

2024

DOI: 10.1016/j.cam.2023.115644

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Dynamical analysis of a three-species discrete biological system with scavenger

Abdul Qadeer Khan,

Syed Saqlain Kazmi

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2024

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A New Hyperjerk System With a Half Line Equilibrium: Multistability, Period Doubling Reversals, Antimonotonocity, Electronic Circuit, FPGA Design, and an Application to Image Encryption

Sambas,

Miroslav,

Vaidyanathan

et al. 2024

IEEE Access

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A hyperjerk system pertains to a dynamical system regulated by an ordinary differential equation of nth order, where n ≥ 4. The main contribution of this work is the finding of a new autonomous hyperjerk system with a half line equilibrium. The mathematical framework of the proposed hyperjerk system contains eight terms with an absolute function nonlinearity. The essential dynamic characteristics of the model are explored, encompassing analysis of equilibrium points and their stability, depiction of the phase trajectories, illustration of bifurcation patterns, and visualization of Lyapunov exponent graphs. Our finding shows that the new 4D hyperjerk system exhibits special behavior like multistability, period doubling reversals and antimonotonocity. The proposed hyperjerk system has been implemented with an electronic circuit using MultiSim 14.0. Moreover, the FPGA implementation of the proposed hyperjerk system is performed by applying two numerical methods: Forward Euler and Trapezoidal. Experimental attractors are given from an oscilloscope by using the Zybo Z7-20 FPGA development board, which are in good agreement with the MATLAB and MultiSim 14.0 simulations. Finally, based on the chaotic dynamical behavior of the proposed chaotic hyperjerk system, a new image encryption approach is proposed. The experimental outcomes of the presented encryption algorithm prove its efficiency and security.

show abstract

A New Hyperjerk System With a Half Line Equilibrium: Multistability, Period Doubling Reversals, Antimonotonocity, Electronic Circuit, FPGA Design, and an Application to Image Encryption

Sambas,

Miroslav,

Vaidyanathan

et al. 2024

IEEE Access

View full text Add to dashboard Cite

show abstract

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Dynamical analysis of a three-species discrete biological system with scavenger

Cited by 1 publication

References 25 publications

A New Hyperjerk System With a Half Line Equilibrium: Multistability, Period Doubling Reversals, Antimonotonocity, Electronic Circuit, FPGA Design, and an Application to Image Encryption

A New Hyperjerk System With a Half Line Equilibrium: Multistability, Period Doubling Reversals, Antimonotonocity, Electronic Circuit, FPGA Design, and an Application to Image Encryption

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