Multistability and bifurcation analysis of a novel 3d jerk system: Electronic circuit design, fpga implementation, and image cryptography scheme

T Bonny, S Vaidyanathan, A Sambas… - IEEE …, 2023 - ieeexplore.ieee.org
In this paper, we propose a novel 3-D jerk system with three quadratic nonlinear terms and
demonstrate the dynamical properties of the proposed jerk system in terms of phase …

A novel 3-D jerk system, its bifurcation analysis, electronic circuit design and a cryptographic application

S Vaidyanathan, AST Kammogne, E Tlelo-Cuautle… - Electronics, 2023 - mdpi.com
This paper introduces a new chaotic jerk system with three cubic nonlinear terms. The
stability properties of the three equilibrium points of the proposed jerk system are analyzed …

A new multistable jerk system with Hopf bifurcations, its electronic circuit simulation and an application to image encryption

S Vaidyanathan, IM Moroz… - International …, 2021 - inderscienceonline.com
In this work, we announce a new 3-D jerk system and show that it is chaotic and dissipative
with the calculation of the Lyapunov exponents of the system. By performing a detailed …

[PDF][PDF] Dynamical behavior of a new jerk system inspired from chaotic memory oscillators

SF Al-Azzawi - Archives of Control Sciences, 2024 - journals.pan.pl
This paper constructs a six-term new simple 3D jerk system modeled by chaotic model
memory oscillators with four parameters that control the behavior. The suitable choice of one …

A New Hyperjerk system with a half line equilibrium: Multistability, Period doubling reversals, antimonotonocity, electronic circuit, FPGA design and an application to …

A Sambas, M Miroslav, S Vaidyanathan… - IEEE …, 2024 - ieeexplore.ieee.org
A hyperjerk system pertains to a dynamical system regulated by an ordinary differential
equation of th order, where. The main contribution of this work is the finding of a new …

Image encryption using a novel quintic jerk circuit with adjustable symmetry

L Kamdjeu Kengne… - … Journal of Circuit …, 2021 - Wiley Online Library
An electronic implementation of a novel chaotic oscillator with quintic nonlinearity is
proposed herein. Dynamical behaviors of the system are investigated using well‐known …

A new chaotic jerk system with two quadratic nonlinearities and its applications to electronic circuit implementation and image encryption

S Vaidyanathan, A Akgul… - International Journal of …, 2018 - inderscienceonline.com
This work presents a new chaotic jerk system having two quadratic nonlinearities.
Dynamical properties of the new jerk system are discovered through dissipativity …

A new chaotic jerk system with hidden heart-shaped attractor: dynamical analysis, multistability, connecting curves and its application in image encryption

G Vivekanandhan, H Natiq, A Ghaffari, A Bayani… - Physica …, 2023 - iopscience.iop.org
Application of chaos in modeling natural phenomena and encryption encourages
researchers to design new chaotic systems with exciting features. Here a chaotic jerk …

A novel 3D chaotic system with line equilibrium: multistability, integral sliding mode control, electronic circuit, FPGA implementation and its image encryption

A Sambas, S Vaidyanathan, X Zhang, I Koyuncu… - IEEE …, 2022 - ieeexplore.ieee.org
This paper announces a novel three-dimensional chaotic system with line equilibrium and
discusses its dynamic properties such as Lyapunov exponents, phase portraits, equilibrium …

A novel four-wing chaotic system with multiple attractors based on hyperbolic sine: Application to image encryption

L Xu, J Zhang - Integration, 2022 - Elsevier
A novel symmetrical four-wing fourth-order chaotic system is constructed. The basic dynamic
characteristics of the system were analyzed by phase diagram, bifurcation diagram …