A new nonlinear duffing system with sequential fractional derivatives
By considering the Caputo fractional derivative and Riemann-Liouville integral, in the
present work, we are concerned with a nonlinear sequential fractional differential system of …
present work, we are concerned with a nonlinear sequential fractional differential system of …
[PDF][PDF] Solvability for a differential system of Duffing type via Caputo-Hadamard approach
In this work, we investigate a new sequential coupled differential system of Duffing type. The
considered system involves Caputo Hadamard derivatives. Based on both Banach …
considered system involves Caputo Hadamard derivatives. Based on both Banach …
Application of van der Pol–Duffing oscillator in weak signal detection
Z Zhihong, Y Shaopu - Computers & Electrical Engineering, 2015 - Elsevier
This study presents a new weak signal detection method based on the van der Pol–Duffing
oscillator. The principle of the proposed method is described. A weak signal is detected …
oscillator. The principle of the proposed method is described. A weak signal is detected …
Unique solutions, stability and travelling waves for some generalized fractional differential problems
The type of symmetry exhibited by a travelling wave can have important implications for its
behaviour and properties, such as its polarization, dispersion, and interactions with other …
behaviour and properties, such as its polarization, dispersion, and interactions with other …
[PDF][PDF] Application of fractional calculus on a new differential problem of duffing type
In this paper, we study a new nonlinear sequential fractional differential problem of Duffing
oscillator type. The considered problem involves two fractional order operators: Riemann …
oscillator type. The considered problem involves two fractional order operators: Riemann …
On the simulations of second-order oscillatory problems with applications to physical systems
Second-order oscillatory problems have been found to be applicable in studying various
phenomena in science and engineering; this is because these problems have the …
phenomena in science and engineering; this is because these problems have the …
New Van der Pol–Duffing Jerk Fractional Differential Oscillator of Sequential Type
A Abdelnebi, Z Dahmani - Mathematics, 2022 - mdpi.com
The subject of this paper is the existence, uniqueness and stability of solutions for a new
sequential Van der Pol–Duffing (VdPD) jerk fractional differential oscillator with Caputo …
sequential Van der Pol–Duffing (VdPD) jerk fractional differential oscillator with Caputo …
Study of weak periodic signals in the EEG signals and their relationship with postsynaptic potentials
M Akilli, N Yilmaz - IEEE Transactions on Neural Systems and …, 2018 - ieeexplore.ieee.org
In this paper, weak periodic signals detected in the EEG signals were analyzed for each
region of the brain, and its relationships with postsynaptic potentials were investigated. For …
region of the brain, and its relationships with postsynaptic potentials were investigated. For …
High resolution time-frequency representation for chirp signals using an adaptive system based on duffing oscillators
AH Costa, R Enríquez-Caldera, M Tello-Bello… - Digital Signal …, 2016 - Elsevier
This paper presents a novel methodology to estimate the frequency shift in chirp signals with
SNRs as low as− 17 dB through the use of an adaptive array of Duffing oscillators. The …
SNRs as low as− 17 dB through the use of an adaptive array of Duffing oscillators. The …
Uniqueness of solutions, stability and simulations for a differential problem involving convergent series and time variable singularities
We study a new problem of nonlinear integrodifferential equations with nonlocal integral
conditions. The considered problem is singular at the origin of the time axis and it involves …
conditions. The considered problem is singular at the origin of the time axis and it involves …