Results 71 to 80 of about 262,161 (280)

New multidimensional partially integrable generalization of S-integrable N-wave equation

, 2007
This paper develops a modification of the dressing method based on the inhomogeneous linear integral equation with integral operator having nonempty kernel.
A. I. Zenchuk, Beals R., Zakharov V. E., Zakharov V. E., Zakharov V. E., Zenchuk A. I.   +5 more
core   +3 more sources

Unleashing the Power of Machine Learning in Nanomedicine Formulation Development

Advanced Functional Materials, EarlyView.
A random forest machine learning model is able to make predictions on nanoparticle attributes of different nanomedicines (i.e. lipid nanoparticles, liposomes, or PLGA nanoparticles) based on microfluidic formulation parameters. Machine learning models are based on a database of nanoparticle formulations, and models are able to generate unique solutions
Thomas L. Moore, Cristiano Pesce, Antonietta Greco, Claudia Pisante, Greta Avancini, Valentina Di Francesco, Yosi Shamay, Paolo Decuzzi   +7 more
wiley   +1 more source

A family of planar differential systems with hyperbolic algebraic limit cycles

Electronic Journal of Qualitative Theory of Differential Equations
In this paper, we characterize a family of planar polynomial differential systems of degree greater or equal than $n+1$, by presenting polynomial curves of degree $n,$ which generally contain closed components.
Maroua Ghelmi, Aziza Berbache
doaj   +1 more source

[SADE] A Maple package for the Symmetry Analysis of Differential Equations

, 2010
We present the package SADE (Symmetry Analysis of Differential Equations) for the determination of symmetries and related properties of systems of differential equations.
Anderson, Annibal Figueiredo, Baumann, Bluman, Bluman, Bluman, Brenig, Burgers, Butcher, Cardeal, Carminati, Cheb-Terrab, Cheviakov, Clarkson, Clarkson, Díaz-Sierra, Figueiredo, Figueiredo, Gross, Hereman, Hill, Hydon, Liboff, Markus, Olver, Olver, Ovsjannikov, Pohjanpelto, Reid, Reid, Rocha Filho, Rocha Filho, Schwarz, Schwarz, Schwarz, Sherring, Silva, Steeb, Stephani, Tarcísio M. Rocha Filho, Vu, Weinberg   +41 more
core   +1 more source

On the reflective function of polynomial differential system

Journal of Mathematical Analysis and Applications, 2003
The author investigates the planar differential system \[ \begin{aligned} \dot{x} &=P(t,x,y):=a(t,x)+b(t,x)y+c(t,x)y^2,\\ \dot{y} &=Q(t,x,y):=e(t,x)+f(t,x)y+g(t,x)y^2, \end{aligned} \tag{1} \] with continuously differentiable coefficients by the method of reflective functions (RF). The theory of RF was established in 1986 by \textit{V. I.
openaire   +1 more source

Predicting Atomic Charges in MOFs by Topological Charge Equilibration

Advanced Functional Materials, EarlyView.
An atomic charge prediction method is presented that is able to accurately reproduce ab‐initio‐derived reference charges for a large number of metal–organic frameworks. Based on a topological charge equilibration scheme, static charges that fulfill overall neutrality are quickly generated.
Babak Farhadi Jahromi, Sumukh Shankar Sharadaprasad, Rochus Schmid   +2 more
wiley   +1 more source

Integrability problems for two classes of polynomial differential systems

上海师范大学学报. 自然科学版, 2013
This paper,using pseudo-division algorithm,introduces a method for computing singular point values of a class of complex polynomial differential systems,establishes the necessary and sufficient conditions for integrability of two classes of complex ...
SANG Bo
doaj  

New Exploration of Phase Portrait Classification of Quadratic Polynomial Differential Systems Based on Invariant Theory

AppliedMath
After linear differential systems in the plane, the easiest systems are quadratic polynomial differential systems in the plane. Due to their nonlinearity and their many applications, these systems have been studied by many authors.
Joan Carles Artés, Laurent Cairó, Jaume Llibre   +2 more
doaj   +1 more source

Construction of Special Solutions for Nonintegrable Systems

, 2006
The Painleve test is very useful to construct not only the Laurent series solutions of systems of nonlinear ordinary differential equations but also the elliptic and trigonometric ones. The standard methods for constructing the elliptic solutions consist
Ablowitz M J, Antonov V A, Barrow J D, Chang Y F, Chang Y F, Conte R, Conte R, Conte R, Davenport J H, DeWolfe O, Fan E, Golubev V V, Gremm M, Grimshaw R, Hone A N W, Hénon M, Kokubun F, Kowalevski S, Melkonian S, Murray C D, Musette M, Podolský Ji, Porubov A V, Santos G S, Timoshkova E I, Verhoeven C, Verhoeven C, Vernov S Yu, Weiss J, Weiss J, Yomba E   +30 more
core   +1 more source

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

Discrete & Continuous Dynamical Systems - A, 2013
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. We also prove that any planar quasi-homogeneous polynomial differential system can be transformed into a differential system of the form u˙ = uf(v), ˙v = g(v) with f(v) and g(v)
Giné, Jaume, Grau Montaña, Maite, Llibre, Jaume   +2 more
openaire   +4 more sources