Results 81 to 90 of about 766,232 (282)

Cauchy-Kowalevski and polynomial ordinary differential equations

open access: yesElectronic Journal of Differential Equations, 2012
The Cauchy-Kowalevski Theorem is the foremost result guaranteeing existence and uniqueness of local solutions for analytic quasilinear partial differential equations with Cauchy initial data. The techniques of Cauchy-Kowalevski may also be applied to
Roger J. Thelwell   +2 more
doaj  

Estimation of the Region of Attraction of Polynomial Swing Equation Using Sum of Squares Theory

open access: yesEnergies
Estimation of the region of attraction of the power system using sum of squares (SOS) programming theory is investigated in this paper. Firstly, the Taylor expansion formula is applied to explore the inherent polynomial structure of the swing equation ...
Jing Li   +3 more
doaj   +1 more source

Mapping Nanoscale Protein‐Corona Kinetics of DoE‐Optimized Perfluorocarbon Encapsulated‐PLGA Nanoparticles by In Situ, Time‐Resolved Synchrotron SAXS

open access: yesAdvanced Healthcare Materials, EarlyView.
A two‐phase workflow (OFAT screening followed by central composite design) maps how processing variables tune PFCE‐PLGA nanoparticle size, dispersity, surface charge, loading, and 19F‐MRI signal. In situ, time‐resolved synchrotron SAXS tracks albumin‐corona growth on intact dispersions and reveals PFCE‐dependent adsorption pathways.
Joice Maria Joseph   +11 more
wiley   +1 more source

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

open access: yesAdvanced 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   +19 more
wiley   +1 more source

Polar Varieties and Efficient Real Equation Solving: The Hypersurface Case

open access: yes, 1996
The objective of this paper is to show how the recently proposed method by Giusti, Heintz, Morais, Morgenstern, Pardo \cite{gihemorpar} can be applied to a case of real polynomial equation solving.
Bank, B.   +4 more
core   +3 more sources

Polynomial systems

open access: yes, 2001
In this paper we provide the greatest lower bound about the number of (non-infinitesimal) limit cycles surrounding a unique singular point for a planar polynomial differential system of arbitrary degree.
Li, Chengzhi   +3 more
openaire   +1 more source

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

open access: yesAdvanced 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   +18 more
wiley   +1 more source

Polynomial and rational integrability of polynomial Hamiltonian systems

open access: yesElectronic Journal of Differential Equations, 2012
Within the class of canonical polynomial Hamiltonian systems anti-symmetric under phase-space involutions, we generalize some results on the existence of Darboux polynomial and rational first integrals for "kinetic plus potential" systems to general systems.
Llibre, Jaume   +2 more
openaire   +4 more sources

Asymmetry of the Ferroelectric Phase Transition in BaTiO3

open access: yesAdvanced Materials, EarlyView.
Phase transitions are typically assumed to behave identically in forward and reverse. This work shows that in the ferroelectric material barium titanate this is not true: heating drives an abrupt, first‐order jump, while cooling gives a smooth, continuous change.
Asaf Hershkovitz   +14 more
wiley   +1 more source

Universal Conductance Fluctuations in Quantum Anomalous Hall Insulators

open access: yesAdvanced Materials, EarlyView.
Universal conductance fluctuations are observed in mesoscopic quantum anomalous Hall insulators. Two distinct fluctuation patterns are identified, arising from different interference processes of bulk and chiral edge states, respectively. These findings unveil rich quantum interference phenomena in quantum anomalous Hall insulators and provide insights
Peng Deng   +11 more
wiley   +1 more source

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