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 …
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 …
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
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 …
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 …
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 …
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 …
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 …
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 …
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
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 …
(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 …
variable order derivatives. The study introduces the variable-order fractional time derivatives …