Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Topological classification of quadratic systems with a unique finite second order singularity with two zero eigenvalues. (English)
Authors: Nikolaev I. V., Vulpe Nicolae
Abstract
We study the quadratic systems of differential equations with a unique finite non-elementary singular point of the multiplicity two. For such systems we establish the invariant criteria, which allow us to answer whether or not a given system belongs to one of the 10 possible topological classes.Institutul de Matematică Academia de Ştiinţe
str. Academiei 5, MD-2028 Chişinău, Moldova
str. Academiei 5, MD-2028 Chişinău, Moldova
Contents
- Topological classification of quadratic systems with a unique finite second order singularity with two zero eigenvalues. (English)
- Lyapunov stability and attraction of rest points of dynamical systems. (Russian)
- Connectedness of the Levinson center of a compact dissipative dynamical system without uniqueness. (Russian)
- Analytic continuation with respect to a parameter in the neighbourhood of zero of Green's function of basic external boundary value problems for the Helmholtz equation. (Russian)
- On absence of eigenvalues of singular, not selfadjoint differential operators. (Russian)
- Affine-invariant conditions for determining the number and multiplicity of singular points of quadratic differential systems. (English)
- Analysis of the condition ${\germ A}(k)$ for four-dimensional systems of differential equations. (Russian)
- Existence of limiting boundary and initial values of weak solutions of parabolic equation. (Russian)
- $L\sb 2$-estimates of solutions of the singular hyperbolic equations. (English)
- Energetic type estimates for singular hyperbolic equations of high order. (English)
- On sufficient conditions of the center for a cubic system of differential equations. (Russian)
- Concordant solutions of multidimensional differential equations. (English)
- Linear particular integrals and the problem of the center. (Russian)
- On algebraic differential equations with an integrating factor of Darboux type. (Russian)
