Results 61 to 70 of about 17,646,145 (276)

The role of algebraic solutions in planar polynomial differential systems [PDF]

Mathematical Proceedings of the Cambridge Philosophical Society, 2007
AbstractWe study a planar polynomial differential system, given by$\dot{x}=P(x,y)$, $\dot{y}=Q(x,y)$. We consider a function$I(x,y)=\exp\!\{h_2(x) A_1(x,y) \diagup A_0(x,y) \}$ $ h_1(x)\prod_{i=1}^{\ell} (y-g_i(x))^{\alpha_i}$, wheregi(x) are algebraic functions of$x$, $A_1(x,y)=\prod_{k=1}^r (y-a_k(x))$, $A_0(x,y)=\prod_{j=1}^s (y-\tilde{g}_j(x ...
Giacomini, Héctor, Giné, Jaume, Grau Montaña, Maite   +2 more
openaire   +5 more sources

A Thermodynamic Model of Antiferroelectics and Its Application to Electric Field Induced Antiferroelectric‐Ferroelectric Transition in PbZrO3

Advanced Functional Materials, EarlyView.
A thermodynamic model that incorporates ferroelectric, antiferroelectric, and antiferrodistortive orders of PbZrO3${\rm PbZrO}_3$ is established and parameterized based on experimental measurements and first‐principles calculations. We derive a Clapeyron‐like equation for describing the temperature‐dependence of critical electric fields for the ...
Zhiyang Wang, Guodong Zhao, Aiden Ross, Long‐Qing Chen   +3 more
wiley   +1 more source

Center of planar quintic quasi--homogeneous polynomial differential systems

Discrete and Continuous Dynamical Systems, 2015
The authors describe all planar polynomial systems of degree five which are quasi-homogeneous of type \((i,j)\), where \(i,j\) are coprime numbers satisfying \(6\geq i>j\geq 1\). There are 15 such systems, among them the only system with a (global) center is \[ \dot{x}=-3bxy^2-y^5,\;\dot{y}=by^3+x,\;\;b ...
Tang, Yilei, Wang, Long, Zhang, Xiang
openaire   +1 more source

Sacrificial‐Layer‐Assisted Heat‐Affected‐Zone Suppression in Laser Patterning of PET for High‐Performance Flexible Devices

Advanced Functional Materials, EarlyView.
A removable sacrificial polymer layer engineers the thermal boundary condition during nanosecond laser ablation of PET, suppressing heat‐affected‐zone formation without relying on costly ultrafast lasers. This strategy enables deep, high‐aspect‐ratio trenches with no detectable heat‐affected zone, templating silver‐filled mesh electrodes with record ...
Mehdi Zarei, Mirza Sahaluddin, Mostafa Bedewy, Paul W. Leu   +3 more
wiley   +1 more source

Coexistence of algebraic and non-algebraic limit cycles for quintic polynomial differential systems

Electronic Journal of Differential Equations, 2017
In the work by Gine and Grau [11], a planar differential system of degree nine admitting a nested configuration formed by an algebraic and a non-algebraic limit cycles explicitly given was presented.
Ahmed Bendjeddou, Rachid Cheurfa
doaj  

Polynomial and rational first integrals for planar quasi-homogeneous polynomial differential sytems

, 2021
In this paper we find necessary and sufficient conditions in order that a planar quasi-homogeneous polynomial differential system has a polynomial or a rational first integral.
Giné, Jaume, Grau, Maite, Llibre, Jaume
core  

Drop‐on‐Demand Printed Negative Dielectric Anisotropy Liquid Crystal Droplets for Adaptive Complex Beam Manipulation and Assessment

Advanced Functional Materials, EarlyView.
Printed negative‐dielectric‐anisotropy liquid‐crystal droplets enable multidimensional full‐vectorial optical‐field sensing across polarization, phase, and wavelength, while also generating tunable skyrmionic‐like complex optical fields. ABSTRACT Adaptive manipulation of vectorial optical fields is important for optical metrology, imaging, and ...
Jinge Guo, Xuke Qiu, Runchen Zhang, Qihao Han, Liangyu Deng, Yishun Lu, Zimo Zhao, Mengmeng Li, Waqas Kamal, Junseok Ma, Yongge Ma, Steve J. Elston, Alfonso A. Castrejón‐Pita, Stephen M. Morris, Chao He   +14 more
wiley   +1 more source

Qualitative analysis and optical solitons for the (1+1)-dimensional Biswas-Milovic equation with parabolic law and nonlocal nonlinearity

Results in Physics
In this paper, the (1+1)-dimensional Biswas-Milovic equation with parabolic law and nonlocal nonlinearity is studied. Firstly, the Biswas-Milovic equation with parabolic law and nonlocal nonlinearity is transformed into ordinary differential equation ...
Zhao Li, Ejaz Hussain
doaj   +1 more source

Resistance to Overdoping Allows Over 2000 S cm−1 Conductivity in P(g3BTTT) With Anion‐Exchange Doping

Advanced Materials, EarlyView.
Anion‐exchange doping of conjugated polymers is an effective way to achieve high conductivities. Here, we report over 2000 S cm−1 electrical conductivity for doped P(g3BTTT). In addition, we show that P(g3BTTT) sustains exceptionally high doping levels without any drop in the charge mobility.
Basil Hunger, Maximilian M. Horn, Eva Röck, Diego Rosas Villalva, Lize Bynens, Jochen Vanderspikken, Christina Kousseff, Silène Gobeil, Olivier Bardagot, Nesibe Akmanşen‐Kalayci, Sarah H. Tolbert, Iain McCulloch, Wouter Maes, Demetra Tsokkou, Natalie Banerji   +14 more
wiley   +1 more source

Elastomeric 3D‐Printed Microenvironments Enable Nanonewton Force Measurements in Healthy and Diseased Human Pluripotent Stem Cell‐Derived Neuroepithelial Cells

Advanced Materials, EarlyView.
We present elastomeric three‐dimensional (3D) microstructures fabricated via two‐photon polymerization (2PP) and post‐processed through wet etching, for quantifying nanonewton (nN)‐scale forces applied by healthy and diseased neural cells. The mechanically characterized free‐standing beam architectures enable measurement of traction forces of ...
Pieter F. J. van Altena, Lucia Castillo Ransanz, Ruben H. Guis, Giulia Bergamaschi, Nanne J. Paauw, Urs Staufer, Vivi M. Heine, Angelo Accardo   +7 more
wiley   +1 more source