Results 61 to 70 of about 2,268,510 (323)

A striking correspondence between the dynamics generated by the vector fields and by the scalar parabolic equations [PDF]

, 2011
The purpose of this paper is to enhance a correspondence between the dynamics of the differential equations $\dot y(t)=g(y(t))$ on $\mathbb{R}^d$ and those of the parabolic equations $\dot u=\Delta u +f(x,u,\nabla u)$ on a bounded domain $\Omega$.
Abraham R., Angenent S. B., Angenent S. B., Angenent S. B., Anosov D. V., Arroyo A., Bendixson I., Bonatti C., Bonatti C., Bonatti C., Brunovský P., Brunovský P., Brunovský P., Brunovský P., Chen X.-Y., Crovisier S., Czaja R., Dancer E. N., Fiedler B., Fiedler B., Fiedler B., Fiedler B., Fiedler B., Fusco G., Fusco G., Fusco G., Fusco G., Galaktianov V. A., GENEVIÈVE RAUGEL, Ghrist R. W., Guckenheimer J., Hale J. K., Hale J. K., Hardt R., Hayashi S., Henry D., Henry D. B., Hirsch M. W., Hirsch M. W., Hirsch M. W., Hirsch M. W., Jolly M., Joly R., Joly R., Joly R., Mallet-Paret J., Matano H., Matano H., Matano H., Newhouse S. E., Nickel K., Nitecki Z., Palis J., Peixoto M. M., Peixoto M. M., Poláčik P., Poláčik P., Poláčik P., Poláčik P., Prizzi M., Pugh C. C., Pugh C. C., Pugh C. C., Pujals E. R., Robinson C., Robinson J. C., Rocha C., Rocha C., ROMAIN JOLY, Ruelle D., Sandstede B., Smale S., Smale S., Smale S., Smale S., Smillie J., Smith H. L., Smith H. L., Sturm C., Wolfrum M.   +79 more
core   +4 more sources

Topological and Non-Topological Solitons in Scalar Field Theories

, 2018
Solitons emerge in various nonlinear systems – from nonlinear optics and condensed matter to nuclear physics, cosmology, and supersymmetric theories – as stable, localized configurations behaving in many ways like particles.
Y. Shnir
semanticscholar   +1 more source

Comparisons of Science Motivational Beliefs of Adolescents in Taiwan, Australia, and the United States: Assessing the Measurement Invariance Across Countries and Genders

Frontiers in Psychology, 2021
This study utilized international, large-scale assessment data to compare science motivational beliefs of adolescents within and between countries and genders. The study focused on the beliefs about science of eighth graders, including their self-concept
Pey-Yan Liou, John J. H. Lin
doaj   +1 more source

Axiomatic Differential Geometry II-2: Differential Forms [PDF]

, 2013
We refurbish our axiomatics of differential geometry introduced in [Mathematics for Applications,, 1 (2012), 171-182]. Then the notion of Euclideaness can naturally be formulated.
Nishimura, Hirokazu
core   +2 more sources

The isoperimetric inequality on asymptotically flat manifolds with nonnegative scalar curvature

, 2015
In this note, we consider the isoperimetric inequality on an asymptotically flat manifold with nonnegative scalar curvature, and improve it by using Hawking mass.
Shi, Yuguang
core   +1 more source

User-Friendly Tail Bounds for Sums of Random Matrices [PDF]

Foundations of Computational Mathematics, 2010
This paper presents new probability inequalities for sums of independent, random, self-adjoint matrices. These results place simple and easily verifiable hypotheses on the summands, and they deliver strong conclusions about the large-deviation behavior ...
J. Tropp
semanticscholar   +1 more source

Contact manifolds, Lagrangian Grassmannians and PDEs

Complex Manifolds, 2018
In this paper we review a geometric approach to PDEs. We mainly focus on scalar PDEs in n independent variables and one dependent variable of order one and two, by insisting on the underlying (2n + 1)-dimensional contact manifold and the so-called ...
Eshkobilov Olimjon, Manno Gianni, Moreno Giovanni, Sagerschnig Katja   +3 more
doaj   +1 more source

A Higher Order Chebyshev-Halley-Type Family of Iterative Methods for Multiple Roots

Mathematics, 2019
The aim of this paper is to introduce new high order iterative methods for multiple roots of the nonlinear scalar equation; this is a demanding task in the area of computational mathematics and numerical analysis. Specifically, we present a new Chebyshev&
Ramandeep Behl, Eulalia Martínez, Fabricio Cevallos, Diego Alarcón   +3 more
doaj   +1 more source

Enabling visually impaired people to learn three-dimensional tactile graphics with a 3DOF haptic mouse

Journal of NeuroEngineering and Rehabilitation, 2021
Background In this work, we present a novel sensory substitution system that enables to learn three dimensional digital information via touch when vision is unavailable. The system is based on a mouse-shaped device, designed to jointly perceive, with one
Mariacarla Memeo, Marco Jacono, Giulio Sandini, Luca Brayda   +3 more
doaj   +1 more source

On the computation of the term $w_{21}z^2\bar{z}$ of the series defining the center manifold for a scalar delay differential equation

, 2011
In computing the third order terms of the series of powers of the center manifold at an equilibrium point of a scalar delay differential equation, with a single constant delay $r>0,$ some problems occur at the term $w_{21}z^2\bar{z}.$ More precisely, in ...
Anca-Veronica Ion, J. Hale, J. Hale, T. Faria, W. Wischert   +4 more
core   +1 more source