Is fractional-order chaos theory the new tool to model chaotic pandemics as Covid-19?

M Borah, A Gayan, JS Sharma, YQ Chen, Z Wei… - Nonlinear …, 2022 - Springer
The deadly outbreak of the second wave of Covid-19, especially in worst hit lower-middle-
income countries like India, and the drastic rise of another growing epidemic of …

Predicting noise-induced critical transitions in bistable systems

J Ma, Y Xu, Y Li, R Tian, J Kurths - Chaos: An Interdisciplinary Journal …, 2019 - pubs.aip.org
Critical transitions from one dynamical state to another contrasting state are observed in
many complex systems. To understand the effects of stochastic events on critical transitions …

Critical slowing down indicators

F Nazarimehr, S Jafari, M Perc, JC Sprott - Europhysics Letters, 2020 - iopscience.iop.org
Critical slowing down is considered to be an important indicator for predicting critical
transitions in dynamical systems. Researchers have used it prolifically in the fields of …

A novel fourth order chaotic system and its algorithm for medical image encryption

J Liu, S Tang, J Lian, Y Ma, X Zhang - Multidimensional Systems and …, 2019 - Springer
Today, medical imaging suffers from serious issues such as malicious tampering and
privacy leakage. Encryption is an effective way to protect these images from security threats …

Prediction of bifurcations by varying critical parameters of COVID-19

F Nazarimehr, VT Pham, T Kapitaniak - Nonlinear Dynamics, 2020 - Springer
Coronavirus disease 2019 is a recent strong challenge for the world. In this paper, an
epidemiology model is investigated as a model for the development of COVID-19. The …

Nonlinear analysis of biceps surface EMG signals for chaotic approaches

V Khodadadi, FN Rahatabad, A Sheikhani… - Chaos, Solitons & …, 2023 - Elsevier
In the present study, the chaos is detected and quantified in the electromyographic (EMG)
signal of the biceps muscle using nonlinear features. Biological systems are complex and …

Chaotic oscillators with two types of semi-fractal equilibrium points: bifurcations, multistability, and fractal basins of attraction

HG Damghani, F Nazarimehr, S Jafari… - … in Nonlinear Science and …, 2023 - Elsevier
Two new three-dimensional chaotic oscillators are introduced in this paper. Each oscillator
has a different type of semi-fractal equilibrium curve: one with an R domain semi-fractal …

Experiments and modelling of rate-dependent transition delay in a stochastic subcritical bifurcation

G Bonciolini, D Ebi, E Boujo… - Royal Society open …, 2018 - royalsocietypublishing.org
Complex systems exhibiting critical transitions when one of their governing parameters
varies are ubiquitous in nature and in engineering applications. Despite a vast literature …

Windowing compensation in Fourier based surrogate analysis and application to EEG signal classification

M Caza-Szoka, D Massicotte - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
This article shows how adding a second step of windowing after each phase randomization
can reduce the false rejection rate in the Fourier-based surrogate analysis (SA). Windowing …

A simple guide for plotting a proper bifurcation diagram

A Jafari, I Hussain, F Nazarimehr… - … Journal of Bifurcation …, 2021 - World Scientific
In this paper, we propose a guideline for plotting the bifurcation diagrams of chaotic systems.
We discuss numerical and mathematical facts in order to obtain more accurate and more …