Primary resonance of Duffing oscillator with fractional-order derivative
Y Shen, S Yang, H Xing, G Gao - Communications in Nonlinear Science …, 2012 - Elsevier
In this paper the primary resonance of Duffing oscillator with fractional-order derivative is
researched by the averaging method. At first the approximately analytical solution and the …
researched by the averaging method. At first the approximately analytical solution and the …
Online system identification using fractional-order Hammerstein model with noise cancellation
M Jahani Moghaddam - Nonlinear Dynamics, 2023 - Springer
Slow convergence and low accuracy are two main drawbacks in nonlinear system
identification methods. It becomes more complicated when time delay and noises are …
identification methods. It becomes more complicated when time delay and noises are …
Large amplitude vibration of fractionally damped viscoelastic CNTs/fiber/polymer multiscale composite beams
An analytical formulation combined with a fractional-order time derivative damping model
has been developed to conduct a comprehensive study on the large amplitude free and …
has been developed to conduct a comprehensive study on the large amplitude free and …
A fractional adaptive sliding mode control configuration for synchronizing disturbed fractional-order chaotic systems
K Rabah, S Ladaci - Circuits, systems, and signal processing, 2020 - Springer
In the two last decades, several research works proposed adaptive sliding mode control
(SMC) algorithms to deal with fractional-order chaotic systems for control and …
(SMC) algorithms to deal with fractional-order chaotic systems for control and …
Primary resonance of Duffing oscillator with two kinds of fractional-order derivatives
Y Shen, S Yang, H Xing, H Ma - International Journal of Non-Linear …, 2012 - Elsevier
In this paper, the primary resonance of Duffing oscillator with two kinds of fractional-order
derivatives is investigated analytically. Based on the averaging method, the approximately …
derivatives is investigated analytically. Based on the averaging method, the approximately …
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 …
Primary resonance of fractional-order van der Pol oscillator
YJ Shen, P Wei, SP Yang - Nonlinear Dynamics, 2014 - Springer
In this paper the primary resonance of van der Pol (VDP) oscillator with fractional-order
derivative is studied analytically and numerically. At first the approximately analytical …
derivative is studied analytically and numerically. At first the approximately analytical …
Dynamics of a ring of three fractional-order Duffing oscillators
We investigate the dynamics of three ring-coupled double-well Duffing oscillators modelled
by fractional-order differential equations. The analysis of time series, Fourier spectra, phase …
by fractional-order differential equations. The analysis of time series, Fourier spectra, phase …
[HTML][HTML] An approximate solution of a fractional order differential equation model of human T-cell lymphotropic virus I (HTLV-I) infection of CD4+ T-cells
In this paper, a fractional order differential system for modeling human T-cell lymphotropic
virus I (HTLV-I) infection of CD4+ T-cells is studied and its approximate solution is presented …
virus I (HTLV-I) infection of CD4+ T-cells is studied and its approximate solution is presented …
Vibrational resonance in Duffing systems with fractional-order damping
JH Yang, H Zhu - Chaos: An Interdisciplinary Journal of Nonlinear …, 2012 - pubs.aip.org
The phenomenon of vibrational resonance (VR) is investigated in over-and under-damped
Duffing systems with fractional-order damping. It is found that the factional-order damping …
Duffing systems with fractional-order damping. It is found that the factional-order damping …