Vector fields with a given set of singular points
نویسندگان
چکیده
منابع مشابه
construction of vector fields with positive lyapunov exponents
in this thesis our aim is to construct vector field in r3 for which the corresponding one-dimensional maps have certain discontinuities. two kinds of vector fields are considered, the first the lorenz vector field, and the second originally introced here. the latter have chaotic behavior and motivate a class of one-parameter families of maps which have positive lyapunov exponents for an open in...
15 صفحه اولLagrangian Flows for Vector Fields with Gradient given by a Singular Integral
We prove quantitative estimates on flows of ordinary differential equations with vector field with gradient given by a singular integral of an L function. Such estimates allow to prove existence, uniqueness, quantitative stability and compactness for the flow, going beyond the BV theory. We illustrate the related well-posedness theory of Lagrangian solutions to the continuity and transport equa...
متن کاملDiameter Two Graphs of Minimum Order with Given Degree Set
The degree set of a graph is the set of its degrees. Kapoor et al. [Degree sets for graphs, Fund. Math. 95 (1977) 189-194] proved that for every set of positive integers, there exists a graph of diameter at most two and radius one with that degree set. Furthermore, the minimum order of such a graph is determined. A graph is 2-self- centered if its radius and diameter are two. In this paper for ...
متن کاملUniqueness of the singular points of vector fields on Riemannian manifolds under the gamma-condition
This paper is concerned with the problem of the uniqueness of singular points of vector fields on Riemannian manifolds. The radii of the uniqueness balls of the singular points of vector fields are estimated under the assumption that the vector fields satisfy the -condition, and the results due to Wang and Han in [Criterion and Newton’s method under weak conditions, Chinese J. Numer. Appl. Math...
متن کاملPoincaré and Lie renormalized forms for regular singular points of vector fields in the plane
We discuss the local behaviour of vector fields in the plane R around a regular singular point, using recently introduced reduced normal forms, i.e. Poincaré and Lie renormalized forms [30, 31, 32]. We give a complete classification, and provide explicit formulas, using Poincaré renormalized forms for non-degenerate cases, and Lie ones for certain degenerate cases. Both schemes are completely a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Ukrainian Mathematical Journal
سال: 1997
ISSN: 0041-5995,1573-9376
DOI: 10.1007/bf02487440