Results 41 to 50 of about 1,586 (179)

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source

Single Smooth Waveform Command‐Shaping Control of Overhead Crane Systems Utilizing Two‐Stage Acceleration–Deceleration Profile for Short‐Moving Point‐to‐Point Maneuver

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Modern industrial demand for efficient material handling in confined spaces has driven the need for overhead cranes capable of short‐distance point‐to‐point maneuvers without compromising payload stability. Conventional three‐stage shaper profiles, experiencing acceleration, cruising, and deceleration, become inefficient or infeasible for ...
Mohammed Alfares, Jasem Baroon, Khaled Alhazza   +2 more
wiley   +1 more source

Piecewise quadratic trigonometric polynomial curves [PDF]

Mathematics of Computation, 2003
Summary: Analogous to the quadratic B-spline curve, a piecewise quadratic trigonometric polynomial curve is presented. The quadratic trigonometric polynomial curve has \(C^2\) continuity, while the quadratic B-spline curve has \(C^1\) continuity. The quadratic trigonometric polynomial curve is closer to the given control polygon than the quadratic B ...
openaire   +1 more source

Nonlinear Vibration Characteristic Analysis of Electric Vehicle–Road Coupling System

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT In‐wheel motor drive is the developing direction of automobile electrification and intelligence. However, the increased unsprung mass in in‐wheel motor‐driven electric vehicles (IWMEVs) leads to higher dynamic tire loads, thereby intensifying vehicle–road coupling interactions. To address this problem, an 11‐degree‐of‐freedom nonlinear dynamic
Guizhen Feng, Shaohua Li, Xuewei Wang
wiley   +1 more source

C¹ Positive Surface over Positive Scattered Data Sites. [PDF]

PLoS ONE, 2015
The aim of this paper is to develop a local positivity preserving scheme when the data amassed from different sources is positioned at sparse points.
Farheen Ibraheem, Malik Zawwar Hussain, Akhlaq Ahmad Bhatti   +2 more
doaj   +1 more source

Palindromic random trigonometric polynomials [PDF]

Proceedings of the American Mathematical Society, 2008
We show that if a real trigonometric polynomial has few real roots, then the trigonometric polynomial obtained by writing the coefficients in reverse order must have many real roots. This is used to show that a class of random trigonometric polynomials has, on average, many real roots.
Conrey, J. Brian, Farmer, David W., Imamoglu, Özlem   +2 more
openaire   +2 more sources

Developing a Heterogeneous Attenuation Model for Fiber Reinforced Thermoplastic Composites in the Kilohertz Region of the Ultrasonic Spectrum

Polymer Composites, EarlyView.
Acquisition, filtering and modeling by genetic programming (tree pattern) of the acoustic signal for fiber‐filled composites. ABSTRACT This study experimentally investigated the discrete phase contributions of fibers and entrapped air on the attenuation spectrum of a fiber‐filled thermoplastic composite and derives a mathematical expression for sound ...
Austin D. Bedrosian, Andrew Hrymak, Gisela Lanza, Michael R. Thompson   +3 more
wiley   +1 more source

Approximation by trigonometric polynomials in the variable exponent weighted Morrey spaces

Karpatsʹkì Matematičnì Publìkacìï, 2021
In this paper we investigate the best approximation by trigonometric polynomials in the variable exponent weighted Morrey spaces ${\mathcal{M}}_{p(\cdot),\lambda(\cdot)}(I_{0},w)$, where $w$ is a weight function in the Muckenhoupt $A_{p(\cdot)}(I_{0 ...
Z. Cakir, C. Aykol, V.S. Guliyev, A. Serbetci   +3 more
doaj   +1 more source

Alternating trigonometric polynomials

Journal of Approximation Theory, 1987
Set \(t_ k=h_ n+\{k\pi /(n+1)\}\), \(k=0,1,...,2n+1\), \(0\leq h_ ...
openaire   +2 more sources

PID‐Like Robust Control of Non‐Minimum Phase Robotic Manipulators

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper proposes an output‐feedback tracking controller for non‐minimum phase nonlinear systems with unknown uncertainties and external disturbances, where not all states are measurable, and the zero dynamics are unstable. The approach combines a backstepping‐based stabilizing state‐feedback law with a cascade extended high‐gain observer ...
Mohammad Al Saaideh, Almuatazbellah Boker, Mohammad Al Janaideh   +2 more
wiley   +1 more source