Results 41 to 50 of about 1,034,900 (267)
Five new methods of celestial mechanics
AIMS Mathematics, 2020 The last volume of the book “Les méthods nouvelles de la mécanique céleste” by Poincaré [28] was published more than 120 years ago. Since then, the following methods have arisen. 1.
Alexander Bruno
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Singular Perturbations in Viscoelasticity
Rocky Mountain Journal of Mathematics, 1993 We study the singular perturbation for a class of partial integro- differential equations in viscoelasticity of the form \[ \rho u^ \rho_{tt} (t,x) = Eu^ \rho_{xx} (t,x) + \int ^ t _{-\infty} a (t-s) u^ \rho_{xx} (s,x) ds + \rho g (t,x) + f (x),\tag{a} \] when the density \(\rho\) of the material goes to zero. We will prove that when \(\rho \to 0\) the
Grimmer, Ronald, Liu, Hetao
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The peaking phenomenon and singular perturbations [PDF]
Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, 2008 We study the asymptotic behaviour, when the parameter " tends to 0, of a class of singularly perturbed triangular systems x˙ = f(x, y), y˙ = G(y, "). We assume that all solutions of the second equation tend to zero arbitrarily fast when " tends to 0. We assume that the origin of equation x˙ = f(x, 0) is globally asymptotically stable.
Lobry, Claude, Sari, Tewfik
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Perturbation Theory and Singular Perturbations for Input-to-State Multistable Systems on Manifolds
IEEE Transactions on Automatic Control, 2019 We consider the notion of input-to-state multistability, which generalizes input-to-state stability to nonlinear systems evolving on Riemannian manifolds and possessing a finite number of compact, globally attractive, invariant sets, and in addition ...
Paolo Forni, D. Angeli
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Asymptotics of the Solution of Bisingular Problem for a System of Linear Parabolic Equations. I
Моделирование и анализ информационных систем, 2013 Given a bisingular parabolic problem for a system of linear parabolic equations, we construct an asymptotics for the solution of any order with respect to a small parameter, without using the joining procedure for asymptotic expansions.
M. V. Butuzova
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Root System of Singular Perturbations of the Harmonic Oscillator Type Operators [PDF]
Letters in Mathematical Physics, 2013 We analyze perturbations of the harmonic oscillator type operators in a Hilbert space H\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs ...
B. Mityagin, P. Siegl
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Primordial perturbations in a non singular bouncing universe model [PDF]
, 2002 We construct a simple non singular cosmological model in which the currently observed expansion phase was preceded by a contraction. This is achieved, in the framework of pure general relativity, by means of a radiation fluid and a free scalar field ...
A. Albrecht +71 more
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Rotating Singular Perturbations of the Laplacian [PDF]
Annales Henri Poincaré, 2004 Minor changes, to appear in Ann. H.
Correggi Michele +1 more
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Scalar perturbations of non-singular non-rotating black holes in conformal gravity [PDF]
, 2017 We study scalar and electromagnetic perturbations of a family of nonsingular nonrotating black hole spacetimes that are solutions in a large class of conformally invariant theories of gravity.
B. Toshmatov +4 more
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Perturbation of the Ground Varieties of C = 1 String Theory [PDF]
, 1993 We discuss the effect of perturbations on the ground rings of $c=1$ string theory at the various compactification radii defining the $A_N$ points of the moduli space.
Ghoshal, Debashis +2 more
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