A new 4-D multi-stable hyperchaotic system with no balance point: Bifurcation analysis, circuit simulation, FPGA realization and image cryptosystem

S Vaidyanathan, A Sambas, E Tlelo-Cuautle… - IEEE …, 2021 - ieeexplore.ieee.org
In this work, we describe the model of a new 4-D hyperchaotic system with no balance point
and deduce that the new hyperchaotic system has a hidden attractor. We present a detailed …

A new five-dimensional four-wing hyperchaotic system with hidden attractor, its electronic circuit realisation and synchronisation via integral sliding mode control

S Vaidyanathan, LG Dolvis… - International …, 2019 - inderscienceonline.com
This paper reports a new five-dimensional four-wing hyperchaotic system with hidden
attractor. First, this paper discusses the dynamic properties of the new four-wing system with …

[PDF][PDF] A new chaotic jerk system with three nonlinearities and synchronization via adaptive backstepping control

S Vaidyanathan, ST Kingni, A Sambas… - International Journal of …, 2018 - academia.edu
Jerk systems are popular in mechanical engineering and chaotic jerk systems are used in
many applications as they have simple structure and complex dynamic properties. In this …

Multiple attractors in a novel simple 4D hyperchaotic system with chaotic 2-torus and its circuit implementation

SF Al-Azzawi, MA Al-Hayali - Indian Journal of Physics, 2023 - Springer
In n-dimensional systems, finding of (n-2) positive Lyapunov exponents (LEs) with the
largest Lyapunov exponents is more motivating, vital, and hard compared to other traditional …

A new 4-D hyperchaotic system with no equilibrium, its multistability, offset boosting and circuit simulation

S Vaidyanathan, IM Moroz, A Sambas - Archives of Control Sciences, 2020 - ora.ox.ac.uk
A new 4-D dynamical system with hyperchaos is reported in this work. It is shown that the
proposed nonlinear dynamical system with hyperchaos has no equilibrium point. Hence, the …

[PDF][PDF] Cryptographic adaptation of the middle square generator

H Ali-Pacha, N Hadj-Said… - … of Electrical and …, 2019 - pdfs.semanticscholar.org
Currently, cryptography plays a major role in various computer and technological
applications. With the high number of internet users, the use of cryptography to provide …

A novel 3-D chaotic system with line equilibrium: dynamical analysis, coexisting attractors, offset boosting control and circuit design

A Sambas, S Vaidyanathan, S Zhang… - IOP Conference Series …, 2019 - iopscience.iop.org
A 3-D new chaotic system with five nonlinearities is proposed in this paper. A novel feature
of our chaotic system is that there is no linear term in it. We also show that the chaotic system …

A New 4-D Chaotic System with Self-Excited Two-Wing Attractor, its Dynamical Analysis and Circuit Realization

A Sambas, S Vaidyanathan, S Zhang… - Journal of Physics …, 2019 - iopscience.iop.org
A new four-dimensional chaotic system with only two quadratic nonlinearities is proposed in
this paper. It is interesting that the new chaotic system exhibits a two-wing strange attractor …

[PDF][PDF] Self Excited and Hidden Attractors

T Hania - 2023 - archives.univ-biskra.dz
Dynamical systems have received great attention because of their wide applications in the
real world in various fields. These systems can range from simple models of physical …

A hyperchaotic hyperjerk system with four nonlinearities, its dynamical analysis and circuit realization

S Vaidyanathan, S Zhang, A Sambas… - IOP Conference Series …, 2019 - iopscience.iop.org
A new four-dimensional hyperchaotic hyperjerk system with four nonlinearities is proposed
in this paper. The dynamical properties of the new hyperjerk system are described in terms …