Add to ORKGGiven an algebraic curve in the complex affine plane, we describe how to determine all planar polynomial vector fields which leave this curve invariant. If all (finite) singular points of the curve are nondegenerate, we give an explicit expression for these vector fields. In the general setting we provide an algorithmic approach, and as an alternative we discuss sigma processes
AbstractWe discuss planar polynomial vector fields with prescribed Darboux integrating factors, in a...
We determine all the C 1 planar vector fields with a given set of orbits of the form y − y(x) = 0 sa...
AbstractThis work deals with planar polynomial differential systems {x˙}=P(x,y), {y˙}=Q(x,y). We giv...
Given an algebraic curve in the complex affine plane, we describe how to determine all planar polyno...
We discuss planar polynomial vector fields with prescribed Darboux integrating factors, in a nondege...
In this talk first we will present a short review of the Darboux theory of integrability. Poincare p...
AbstractWe present an algorithm that can be used to check whether a given derivation of the complex ...
Abstract. We present an algorithm that can be used to check whether a given derivation of the comple...
We study the problem of determining the canonical form that a planar analytic vector field in all th...
Planar polynomial vector fields which admit invariant algebraic curves, Darboux integrating factors ...
Abstract. In order to investigate polynomial vector fields admitting a prescribed Darboux integratin...
AbstractWe provide a solution to the important problem of constructing complete independent sets of ...
In this paper we address the Poincaré problem, on plane polynomial vector fields, under some conditi...
In this paper we address the Poincare problem, on plane polynomial vector fields, under some conditi...
International audienceThis work deals with planar polynomial differential systems View the MathML so...
AbstractWe discuss planar polynomial vector fields with prescribed Darboux integrating factors, in a...
We determine all the C 1 planar vector fields with a given set of orbits of the form y − y(x) = 0 sa...
AbstractThis work deals with planar polynomial differential systems {x˙}=P(x,y), {y˙}=Q(x,y). We giv...
Given an algebraic curve in the complex affine plane, we describe how to determine all planar polyno...
We discuss planar polynomial vector fields with prescribed Darboux integrating factors, in a nondege...
In this talk first we will present a short review of the Darboux theory of integrability. Poincare p...
AbstractWe present an algorithm that can be used to check whether a given derivation of the complex ...
Abstract. We present an algorithm that can be used to check whether a given derivation of the comple...
We study the problem of determining the canonical form that a planar analytic vector field in all th...
Planar polynomial vector fields which admit invariant algebraic curves, Darboux integrating factors ...
Abstract. In order to investigate polynomial vector fields admitting a prescribed Darboux integratin...
AbstractWe provide a solution to the important problem of constructing complete independent sets of ...
In this paper we address the Poincaré problem, on plane polynomial vector fields, under some conditi...
In this paper we address the Poincare problem, on plane polynomial vector fields, under some conditi...
International audienceThis work deals with planar polynomial differential systems View the MathML so...
AbstractWe discuss planar polynomial vector fields with prescribed Darboux integrating factors, in a...
We determine all the C 1 planar vector fields with a given set of orbits of the form y − y(x) = 0 sa...
AbstractThis work deals with planar polynomial differential systems {x˙}=P(x,y), {y˙}=Q(x,y). We giv...