Fractional dynamical model for the generation of ECG like signals from filtered coupled Van-der Pol oscillators

S Das, K Maharatna - Computer methods and programs in biomedicine, 2013 - Elsevier
In this paper, an incommensurate fractional order (FO) model has been proposed to
generate ECG like waveforms. Earlier investigation of ECG like waveform generation is …

A fractional-order approach to cardiac rhythm analysis

DJ Templos-Hernandez, LA Quezada-Tellez… - Chaos, Solitons & …, 2021 - Elsevier
In this research, fractional dynamics has been incorporated into a nonlinear model of three
coupled oscillators to capture cardiac behavior more closely. We observe that in the case of …

Approximate expressions of a fractional order Van der Pol oscillator by the residue harmonic balance method

M Xiao, WX Zheng, J Cao - Mathematics and Computers in Simulation, 2013 - Elsevier
Although the Van der Pol oscillator, which was originally proposed as a model of vacuum
tube circuits, has been widely used in electronics, biology and acoustics, its characteristics …

Analysis of the Van der Pol oscillator containing derivatives of fractional order

RS Barbosa, JAT Machado… - Journal of Vibration …, 2007 - journals.sagepub.com
In this paper a modified version of the classical Van der Pol oscillator is proposed,
introducing fractional-order time derivatives into the state-space model. The resulting …

[HTML][HTML] Influence of methods approximating fractional-order differentiation on the output signal illustrated by three variants of Oustaloup filter

J Wiora, A Wiora - Symmetry, 2020 - mdpi.com
Fractional-order (FO) differential equations are more and more frequently applied to
describe real-world applications or models of phenomena. Despite such models exhibiting …

Non-existence of periodic solutions in fractional-order dynamical systems and a remarkable difference between integer and fractional-order derivatives of periodic …

E Kaslik, S Sivasundaram - Nonlinear Analysis: Real World Applications, 2012 - Elsevier
Using the Mellin transform approach, it is shown that, in contrast with integer-order
derivatives, the fractional-order derivative of a periodic function cannot be a function with the …

[HTML][HTML] Impact of chloride channel on firing patterns of the fractional-order Morris–Lecar model

T Azizi - Results in Applied Mathematics, 2022 - Elsevier
Fractional calculus as a new approach for modeling has been used widely to study the non-
linear behavior of physical and biological systems with some degrees of fractionality or …

Mathematical modelling of fractional order circuit elements and bioimpedance applications

MA Moreles, R Lainez - … in Nonlinear Science and Numerical Simulation, 2017 - Elsevier
In this work a classical derivation of fractional order circuits models is presented.
Generalised constitutive equations in terms of fractional Riemann–Liouville derivatives are …

[HTML][HTML] An efficient method for the fractional electric circuits based on Fibonacci wavelet

S Ahmed, K Shah, S Jahan, T Abdeljawad - Results in Physics, 2023 - Elsevier
In this article, we provide effective computational algorithms based on Fibonacci wavelet
(FW) to approximate the solution of fractional order electrical circuits (ECs). The proposed …

Time analysis of forced variable-order fractional Van der Pol oscillator

BP Moghaddam, JA Tenreiro Machado - The European Physical Journal …, 2017 - Springer
This paper presents a new discretization technique for the forced Van der Pol oscillator with
variable order derivatives. The study introduces the variable-order fractional time derivatives …