Results 61 to 70 of about 15,351 (267)

On the limit cycles of a polynomial differential system with a homogeneous non-linearity of the third order

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2022
Background. The presence or absence of limit cycles of polynomial systems constitutes the second part of Hilbert’s well-known 16th problem, which has not yet been completely solved.
V.V. Machulis
doaj   +1 more source

Characterization of Droplet Formation in Ultrasonic Spray Coating: Influence of Ink Formulation Using Phase Doppler Anemometry and Machine Learning

Advanced Materials Technologies, EarlyView.
This study explores how machine learning models, trained on small experimental datasets obtained via Phase Doppler Anemometry (PDA), can accurately predict droplet size (D32) in ultrasonic spray coating (USSC). By capturing the influence of ink complexity (solvent, polymer, nanoparticles), power, and flow rate, the model enables precise droplet control
Pieter Verding, Danny E. P. Vanpoucke, Yunus T. Aksoy, Tobias Corthouts, Maria R. Vetrano, Wim Deferme   +5 more
wiley   +1 more source

Some results on characters of a class of P-polynomial table algebras

Miskolc Mathematical Notes
In this paper, we study the character values of homogeneous monotonic P-polynomial table algebras with finite dimension d ...
Amir Amiraslani, Masoumeh Koohestani, Amir Rahnamai Barghi   +2 more
doaj   +1 more source

Photonics of Topological Magnetic Textures

Advanced Optical Materials, EarlyView.
Localized noncollinear magetic textures imprint their geometry and topology onto traversing photonic fields endowing them with orbital angular‐momentum, chirality, and magnetoelectric densities. Abstract Topological textures in magnetically ordered materials are an important case studies for fundamental research with promising applications in data ...
Vakhtang Jandieri, Ramaz Khomeriki, Daniel Erni, Nicolas Tsagareli, Qian Li, Douglas H. Werner, Jamal Berakdar   +6 more
wiley   +1 more source

Homogeneous ridge polynomial neural network training by PS module asynchronous gradient method

Alexandria Engineering Journal
To address the issue that the passive increase in network order resulting from the rise of the Pi-Sigma (PS) modules for the ridge polynomial neural network (RPNN) adversely affects network performance, we propose a homogeneous ridge polynomial neural ...
Tangwang Sun, Yan Xiong, Jiajia Hu
doaj   +1 more source

Conservation laws for shallow water waves on a sloping beach

International Journal of Mathematics and Mathematical Sciences, 1986
Shallow water waves are governed by a pair of non-linear partial differential equations. We transfer the associated homogeneous and non-homogeneous systems, (corresponding to constant and sloping depth, respectively), to the hodograph plane where we find
Yilmaz Akyildiz
doaj   +1 more source

Controlling Ultrafast Photonic‐Plasmonic Coupling in a Hybrid Platform for Biosensing Applications

Advanced Optical Materials, EarlyView.
A metal–dielectric hybrid composed of gold nanocaps on opal exhibits a broad near‐infrared plasmonic resonance interacting with the photonic bandgap under ultrafast transient conditions. This coupling can be controlled by varying the excitation wavelength and is responsive to bacterial deposition, opening new opportunities for ultrafast biosensing ...
Diego Florio, Andrea Chiappini, Laura Pasquardini, Mario Barozzi, Monica Bollani, Salvatore Stagira, Tersilla Virgili   +6 more
wiley   +1 more source

Observation of the Differential Goos‐Hänchen Shifts in Wavelength Domain Using a Helical Fiber Grating

Advanced Optical Materials, EarlyView.
Goos‐Hänchen shift (GHS) is a phenomenon in which an optical beam experiences a longitudinal displacement upon total internal reflection. In this work, we experimentally demonstrate an enhanced GHS in the wavelength domain using a helical fiber grating (HFG).
Zhang Meng, Yuto Kotani, Naoto Murata, Pawel Pogorzelski, Reza Abdi‐Ghaleh, Peng Wang, Hua Zhao, Hongpu Li   +7 more
wiley   +1 more source

c-Continuous polynomials on  l1

Extracta Mathematicae
In this article we study the n-homogeneous polynomials P that are c-continuous on bounded subsets of l1 . We show that P can be decomposed in the form R + Q, where Q and R are n-homogeneous polynomials, with R weakly star continuous and Q (x) = 0 for all
Humberto D. Carrión
doaj   +1 more source

Minimal Homogeneous Bases for Polynomial Ideals

Applicable Algebra in Engineering, Communication and Computing, 2004
The authors consider the problem to find a minimal generating set of the homogenization \(I^h\) of an ideal \(I\) generated by \(\{f_1,\dots,f_t\}\), \(k\) a field. The results are standard and well known for a long time. Moreover most of them can be proved much faster taking into account that \(R\) is a H-local ring.
Yılmaz, Erol, Kılıçarslan, Sibel
openaire   +3 more sources