Image encryption using finite-precision error

LG Nardo, EG Nepomuceno, J Arias-Garcia… - Chaos, Solitons & …, 2019 - Elsevier
Chaotic systems are broadly adopted to generate pseudo-random numbers used in
encryption schemes. However, when implemented on a finite precision computer, chaotic …

Image encryption based on the pseudo-orbits from 1D chaotic map

EG Nepomuceno, LG Nardo, J Arias-Garcia… - … Journal of Nonlinear …, 2019 - pubs.aip.org
Chaotic systems have been extensively applied in image encryption as a source of
randomness. However, dynamical degradation has been pointed out as an important …

Physical layer authenticated image encryption for IoT network based on biometric chaotic signature for MPFrFT OFDM system

EAA Hagras, S Aldosary, H Khaled, TM Hassan - Sensors, 2023 - mdpi.com
In this paper, a new physical layer authenticated encryption (PLAE) scheme based on the
multi-parameter fractional Fourier transform–Orthogonal frequency division multiplexing (MP …

On the analysis of pseudo-orbits of continuous chaotic nonlinear systems simulated using discretization schemes in a digital computer

EG Nepomuceno, EMAM Mendes - Chaos, Solitons & Fractals, 2017 - Elsevier
This paper reports the existence of more than one pseudo-orbit when simulating continuous
nonlinear systems using a digital computer in a set-up different from the ones normally seen …

A very simple method to calculate the (positive) largest Lyapunov exponent using interval extensions

EMAM Mendes, EG Nepomuceno - International Journal of …, 2016 - World Scientific
In this letter, a very simple method to calculate the positive Largest Lyapunov Exponent
(LLE) based on the concept of interval extensions and using the original equations of motion …

Bifurcation and chaos in a fractional-order Cournot duopoly game model on scale-free networks

F Gurcan, N Kartal, S Kartal - International Journal of Bifurcation and …, 2024 - World Scientific
In this study, a Cournot duopoly model describing Caputo fractional-order differential
equations with piecewise constant arguments is discussed. We have obtained two …

Hopf bifurcation and chaos in time-delay model of glucose-insulin regulatory system

ABA Al-Hussein, F Rahma, S Jafari - Chaos, Solitons & Fractals, 2020 - Elsevier
Mathematical modeling is very helpful for non-invasive investigation of glucose-insulin
interaction. In this paper a new time delay mathematical model for glucose-insulin endocrine …

Detecting unreliable computer simulations of recursive functions with interval extensions

EG Nepomuceno, SAM Martins, BC Silva… - Applied Mathematics …, 2018 - Elsevier
This paper presents a procedure to detect unreliable computer simulations of recursive
functions. The proposed method calculates a lower bound error which is derived from two …

Computational chaos in complex networks

EG Nepomuceno, M Perc - Journal of Complex Networks, 2020 - academic.oup.com
Computational chaos reports the artificial generation or suppression of chaotic behaviour in
digital computers. There is a significant interest of the scientific community in analysing and …

Graphical interface as a teaching aid for nonlinear dynamical systems

PHO Silva, LG Nardo, SAM Martins… - European Journal of …, 2018 - iopscience.iop.org
Chaos theory is an important breakthrough in understanding nonlinear dynamical systems. It
is generally accepted that chaotic systems involve transitivity, a high density of periodic …