The dynamics of systems of complex nonlinear oscillators: a review
GM Mahmoud, T Bountis - International Journal of Bifurcation and …, 2004 - World Scientific
Dynamical systems in the real domain are currently one of the most popular areas of
scientific study. A wealth of new phenomena of bifurcations and chaos has been discovered …
scientific study. A wealth of new phenomena of bifurcations and chaos has been discovered …
A soft computing scaled conjugate gradient procedure for the fractional order Majnun and Layla romantic story
Z Sabir, JLG Guirao - Mathematics, 2023 - mdpi.com
The current study shows the numerical performances of the fractional order mathematical
model based on the Majnun and Layla (FO-MML) romantic story. The stochastic computing …
model based on the Majnun and Layla (FO-MML) romantic story. The stochastic computing …
RETRACTED ARTICLE: A fractional order nonlinear model of the love story of Layla and Majnun
Z Sabir, SB Said - Scientific Reports, 2023 - nature.com
In this study, a fractional order mathematical model using the romantic relations of the Layla
and Majnun is numerically simulated by the Levenberg–Marquardt backpropagation neural …
and Majnun is numerically simulated by the Levenberg–Marquardt backpropagation neural …
[HTML][HTML] Fractional order model for complex Layla and Majnun love story with chaotic behaviour
The main purpose of the present paper is to develop and analyze fractional order dynamical
model describing the change in behavior exhibited by a couple in a passionate relationship …
model describing the change in behavior exhibited by a couple in a passionate relationship …
Designing a bayesian regularization approach to solve the fractional Layla and Majnun system
The present work provides the numerical solutions of the mathematical model based on the
fractional-order Layla and Majnun model (MFLMM). A soft computing stochastic-based …
fractional-order Layla and Majnun model (MFLMM). A soft computing stochastic-based …
Layla and Majnun: A complex love story
Following previous work, this paper introduces a new dynamical model involving two
differential equations describing the time variation of behavior displayed by a couple in a …
differential equations describing the time variation of behavior displayed by a couple in a …
Strange attractors and chaos control in periodically forced complex Duffing's oscillators
An interesting and challenging research subject in the field of nonlinear dynamics is the
study of chaotic behavior in systems of more than two degrees of freedom. In this work we …
study of chaotic behavior in systems of more than two degrees of freedom. In this work we …
Chaos control of chaotic limit cycles of real and complex van der Pol oscillators
GM Mahmoud, AAM Farghaly - Chaos, Solitons & Fractals, 2004 - Elsevier
Chaos control and nonlinear dynamics of both real and complex nonlinear oscillators
constitutes some of the most fascinating developments in applied sciences. The chaos …
constitutes some of the most fascinating developments in applied sciences. The chaos …
Recent advances of stretched Gaussian distribution underlying Hausdorff fractal distance and its applications in fitting stretched Gaussian noise
This paper summarizes the latest advances of the third author's research group on stretched
Gaussian distribution underlying the Hausdorff fractal theory and its applications in fitting …
Gaussian distribution underlying the Hausdorff fractal theory and its applications in fitting …
Threshold for Chaos of a Duffing Oscillator with Fractional‐Order Derivative
W Xing, E Chen, Y Chang, M Wang - Shock and Vibration, 2019 - Wiley Online Library
In this paper, the necessary condition for the chaotic motion of a Duffing oscillator with the
fractional‐order derivative under harmonic excitation is investigated. The necessary …
fractional‐order derivative under harmonic excitation is investigated. The necessary …