From chaos to encryption using fractional order Lorenz-Stenflo model with flux-controlled feedback memristor

NA Khan, MA Qureshi, S Akbar, A Ara - Physica Scripta, 2022 - iopscience.iop.org
To add complexity to a chaotic system, a new five-dimensional fractional-order chaotic
system is proposed based on the Lorenz-Stenflo model with a feedback memristor. By …

[HTML][HTML] Evolving Tangent Hyperbolic memristor based 6D chaotic model with fractional order derivative: Analysis and applications

NA Khan, MA Qureshi, NA Khan - Partial Differential Equations in Applied …, 2023 - Elsevier
The nonlinear dynamics of fractional order systems and memristor based circuits have
attracted an escalating attention in recent years. This paper reports on a novel six …

Memristor-based time-delay hyperchaotic system with circuit simulation and image encryption

S Sun, H Shi, S Duan, L Wang - Physica Scripta, 2022 - iopscience.iop.org
In present context, researchers have only found that memristor-based time-delay (MBTD)
chaotic systems have rich dynamic behavior, but there are still many shortcomings in …

Probing 3D chaotic Thomas' cyclically attractor with multimedia encryption and electronic circuitry

NA Khan, MA Qureshi, S Akbar… - Archives of Control …, 2023 - search.proquest.com
This study investigates Thomas' cyclically symmetric attractor dynamics with mathematical
and electronic simulations using a proportional fractional derivative to comprehend the …

A Three Fractional Order Jerk EquationWith Anti Periodic Conditions

Z Dahmani, MM Belhamiti, MZ Sarikaya - Authorea Preprints, 2024 - authorea.com
We study a new Jerk equation involving three fractional derivatives and anti periodic
conditions. By Banach contraction principle, we present an existence and uniqueness result …

A new fractional-order 2D discrete chaotic map and its DSP implement

X Han, J Mou, T Liu, Y Cao - The European Physical Journal Special …, 2021 - Springer
In the paper, a novel 2D discrete chaotic system was constructed and the solution of numeric
of the matching fractional-order chaotic system is obtained. The dynamical behaviors of the …

Behavioral effects of a four-wing attractor with circuit realization: a cryptographic perspective on immersion

NA Khan, MA Qureshi, T Hameed… - … in Theoretical Physics, 2020 - iopscience.iop.org
In this paper, we propose an innovative chaotic system, combining fractional derivative and
sine-hyperbolic nonlinearity with circuit execution. The study of this system is conducted via …

On real and complex dynamical models with hidden attractors and their synchronization

TM Abed-Elhameed, GM Mahmoud, ME Ahmed - Physica Scripta, 2023 - iopscience.iop.org
In this work, we propose three chaotic (or hyperchaotic) models. These models are real or
complex with one stable equilibrium point (hidden attractor). Based on a modified Sprott E …

Qualitative study of the fractional order nonlinear chaotic model: electronic realization and secure data enhancement

NA Khan, S Akbar, MA Qureshi, T Hameed… - Journal of the Korean …, 2021 - Springer
In this work, we explore the superposition of two well-known chaotic oscillators, namely, the
Duffing double-well and the forced van der Pol with the fractional order derivative. The …

Aggregation of chaotic signal with proportional fractional derivative execution in communication and circuit simulation

NA Khan, S Akbar, MA Qureshi, T Hameed - Fractional-Order Design, 2022 - Elsevier
In this chapter, we introduce an aggregation of two chaotic signals with commensurate-order
fractional derivative on fast digitalized developing skills. Various qualitative and dynamical …