Sorting-free Hill-based stability analysis of periodic solutions through Koopman analysis

F Bayer, RI Leine - Nonlinear Dynamics, 2023 - Springer
In this paper, we aim to study nonlinear time-periodic systems using the Koopman operator,
which provides a way to approximate the dynamics of a nonlinear system by a linear time …

Dynamical behavior analysis of the heart system by the bifurcation structures

RF Fonkou, R Kengne, HCF Kamgang, PK Talla - Heliyon, 2023 - cell.com
The functioning of the heart rhythm can exhibit a wide variety of dynamic behaviours under
certain conditions. In the case of rhythm disorders or cardiac arrhythmias, the natural rhythm …

Intelligent control of cardiac rhythms using artificial neural networks

GS Lima, MA Savi, WM Bessa - Nonlinear Dynamics, 2023 - Springer
Cardiac rhythms are related to heart electrical activity, being an essential aspect of the
cardiovascular physiology. Usually, these rhythms are represented by electrocardiograms …

[HTML][HTML] A unique cardiac electrocardiographic 3D model. Toward interpretable AI diagnosis

C Rueda, A Rodríguez-Collado, I Fernández… - Iscience, 2022 - cell.com
Mathematical models of cardiac electrical activity are one of the most important tools for
elucidating information about heart diagnostics. In this paper, we present an efficient …

Biochaos in cardiac rhythms

A Cheffer, MA Savi - The European Physical Journal Special Topics, 2022 - Springer
Biological rhythm is an essential characteristic of natural systems that can present regular or
irregular dynamics, which can be associated with normal or pathological functioning. In this …

Dynamical behavior analysis of the Van der Pol oscillator with sine nonlinearity subjected to non-sinusoidal periodic excitations by the bifurcation structures

RF Fonkou, R Kengne, HCF Kamgang… - Physica Scripta, 2023 - iopscience.iop.org
The present work studies the dynamical behavior of the Van der Pol oscillator with sine
nonlinearity subjected to the effects of non-sinusoidal excitations through the analysis of …

A revisit to the past plague epidemic (India) versus the present COVID-19 pandemic: fractional-order chaotic models and fuzzy logic control

M Borah, BK Roy, T Kapitaniak, K Rajagopal… - The European Physical …, 2021 - Springer
India is one of the worst hit regions by the second wave of COVID-19 pandemic and 'Black
fungus' epidemic. This paper revisits the Bombay Plague epidemic of India and presents six …

Dynamical behavior of cardiac conduction system under external disturbances: simulation based on microcontroller technology

RF Fonkou, P Louodop, PK Talla - Physica Scripta, 2022 - iopscience.iop.org
The heart rhythm is one of the most interesting aspects of the dynamic behavior of biological
systems. Understanding heart rhythms is essential in the dynamic analysis of the heart. Each …

Heart rhythm analysis using nonlinear oscillators with duffing-type connections

RF Fonkou, MA Savi - Fractal and Fractional, 2023 - mdpi.com
Heartbeat rhythms are related to a complex dynamical system based on electrical activity of
the cardiac cells usually measured by the electrocardiogram (ECG). This paper presents a …

Adaptive control of cardiac rhythms

G da Silva Lima, M Amorim Savi, W Moreira Bessa - Scientific Reports, 2024 - nature.com
Cardiac rhythms are related to heart electrical activity, being the essential aspect of the
cardiovascular physiology. Usually, these rhythms are represented by electrocardiograms …