Results 41 to 50 of about 6,408 (248)

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   +4 more sources

Limit cycles for piecewise smooth perturbations of a cubic polynomial differential center

Electronic Journal of Differential Equations, 2015
In this article, we study the planar cubic polynomial differential system $$\displaylines{ \dot{x}=-yR(x,y)\cr \dot{y}=xR(x,y) }$$ where $R(x,y)=0$ is a conic and $R(0,0)\neq 0$.
Shimin Li, Tiren Huang
doaj  

Calculation of the deflection of an arched truss with suspended elements depending on the number of panels

Structural Mechanics of Engineering Constructions and Buildings, 2020
The aim of the work - to propose a scheme and analytical calculation of a statically definable planar truss with a suspended lower belt. Methods. The formula for the dependence of the deflection of the truss under the action of a uniform load on the ...
Mikhail N. Kirsanov
doaj   +1 more source

Artificial Intelligence‐Assisted Workflow for Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling

Advanced Materials, EarlyView.
AI‐Assisted Workflow for (Scanning) Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling. Abstract (Scanning) transmission electron microscopy ((S)TEM) has significantly advanced materials science but faces challenges in correlating precise atomic structure information with the functional properties of ...
Marc Botifoll, Ivan Pinto‐Huguet, Enzo Rotunno, Thomas Galvani, Catalina Coll, Payam Habibzadeh Kavkani, Maria Chiara Spadaro, Yann‐Michel Niquet, Martin Børstad Eriksen, Sara Martí‐Sánchez, Georgios Katsaros, Giordano Scappucci, Peter Krogstrup, Giovanni Isella, Andreu Cabot, Gonzalo Merino, Pablo Ordejón, Stephan Roche, Vincenzo Grillo, Jordi Arbiol   +19 more
wiley   +1 more source

Bifurcation, chaotic behavior, and traveling wave solutions of the space–time fractional Zakharov–Kuznetsov–Benjamin–Bona–Mahony equation

Frontiers in Physics
The space–time fractional Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZKBBM) equation is a significant nonlinear model used to illustrate numerous physical phenomena, such as water wave mechanics, fluid flow, marine and coastal science, and control systems.
Shan Zhao, Zhao Li
doaj   +1 more source

Microscopic Insights into Magnetic Warping and Time‐Reversal Symmetry Breaking in Topological Surface States of Rare‐Earth‐Doped Bi2Te3

Advanced Materials, EarlyView.
Magnetic doping of the topological insulator Bi2Te3 with erbium adatoms induces out‐of‐plane magnetism and breaks time‐reversal symmetry, opening a Dirac gap and driving a Fermi surface transition from hexagonal to star‐of‐David geometry. Microscopy, spectroscopy, and magnetic dichroism reveal atomically controlled magnetic interactions that tailor the
Beatriz Muñiz Cano, Fabián Calleja, Ji Dai, Massimo Tallarida, Vera Marinova, Alessandro Barla, Marc G. Cuxart, Pierluigi Gargiani, Gonzalo N. Molina, José Angel Silva‐Guillén, Adriana I. Figueroa, Kevin García‐Díez, Sergio O. Valenzuela, Aitor Mugarza, Amadeo L. Vázquez de Parga, Rodolfo Miranda, Francisco Guinea, Manuela Garnica, Miguel A. Valbuena   +18 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

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

Switchable Magnonic Crystals Based on Spin Crossover/CrSBr Heterostructures

Advanced Materials, EarlyView.
Multiscale modeling is employed to investigate the functionality of a light‐controlled, tunable magnonic crystal based on spin‐crossover Fe‐pz molecules integrated with a monolayer of CrSBr. Ab initio simulations confirm that the molecules remain functional on the CrSBr surface, while a semiclassical elastic model demonstrates that light‐induced ...
Andrei Shumilin, Sourav Dey, Denisa Coltuneac, Laurentiu Stoleriu, José J. Baldoví   +4 more
wiley   +1 more source

Polynomial and rational first integrals for planarquasi--homogeneous polynomial differential systems

Discrete and Continuous Dynamical Systems, 2013
The first and second authors are partially supported by a MICINN/ FEDER grant number MTM2011-22877 and by a AGAUR (Generalitat de Catalunya) grant number 2009SGR 381. The third author is partially supported by a MICINN/ FEDER grant number MTM2008-03437, by a AGAUR grant number 2009SGR 410, by ICREA Academia and by FP7-PEOPLE-2012-IRSES- 316338 and ...
Giné, Jaume, Grau Montaña, Maite, Llibre, Jaume   +2 more
openaire   +3 more sources