AbstractWe derive some restrictions on the possible degrees of algebraic invariant curves and on the possible form of algebraic integrating factors, for plane polynomial vector fields whose stationary points at infinity satisfy a certain genericity condition. The method is elementary, and we show by example that it also yields strong results for certain non-generic vector fields
International audienceThis work deals with planar polynomial differential systems View the MathML so...
Abstract. In this paper we derive an upper bound for the degree of the strict invariant algebraic cu...
AbstractThis work deals with planar polynomial differential systems {x˙}=P(x,y), {y˙}=Q(x,y). We giv...
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...
We discuss criteria for the nonexistence, existence and computation of invariant algebraic surfaces ...
AbstractWe investigate projections of homogeneous polynomial vector fields to level sets of homogene...
We present a set of conditions enabling a polynomial system of ordinary differential equations in th...
We study the integrability of polynomial vector fields using Galois theory of linear differential eq...
In this doctoral thesis we discuss invariant sets of autonomous ordinary differential equations. Fin...
AbstractIn this note, we study the relation between the existence of algebraic invariants and integr...
We give an algorithm for deciding whether a planar polynomial differential system has a first integr...
AbstractWe present three main results. The first two provide sufficient conditions in order that a p...
AbstractThe class bn of polynomial vector fields of degree n which define global flows in R2 is char...
We discuss planar polynomial vector fields with prescribed Darboux integrating factors, in a nondege...
International audienceThis work deals with planar polynomial differential systems View the MathML so...
Abstract. In this paper we derive an upper bound for the degree of the strict invariant algebraic cu...
AbstractThis work deals with planar polynomial differential systems {x˙}=P(x,y), {y˙}=Q(x,y). We giv...
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...
We discuss criteria for the nonexistence, existence and computation of invariant algebraic surfaces ...
AbstractWe investigate projections of homogeneous polynomial vector fields to level sets of homogene...
We present a set of conditions enabling a polynomial system of ordinary differential equations in th...
We study the integrability of polynomial vector fields using Galois theory of linear differential eq...
In this doctoral thesis we discuss invariant sets of autonomous ordinary differential equations. Fin...
AbstractIn this note, we study the relation between the existence of algebraic invariants and integr...
We give an algorithm for deciding whether a planar polynomial differential system has a first integr...
AbstractWe present three main results. The first two provide sufficient conditions in order that a p...
AbstractThe class bn of polynomial vector fields of degree n which define global flows in R2 is char...
We discuss planar polynomial vector fields with prescribed Darboux integrating factors, in a nondege...
International audienceThis work deals with planar polynomial differential systems View the MathML so...
Abstract. In this paper we derive an upper bound for the degree of the strict invariant algebraic cu...
AbstractThis work deals with planar polynomial differential systems {x˙}=P(x,y), {y˙}=Q(x,y). We giv...
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