AbstractThe class bn of polynomial vector fields of degree n which define global flows in R2 is characterized, provided the zeros of the vector fields at infinity are simple. Some analytical properties of bn are also established
We study the integrability of polynomial vector fields using Galois theory of linear differential eq...
AbstractWe classify the foliations associated to Hamiltonian vector fields on C2, with an isolated s...
We consider a plane polynomial vector field P (x, y)dx+Q(x, y)dy of degree m> 1, and show that as...
AbstractThe class bn of polynomial vector fields of degree n which define global flows in R2 is char...
AbstractWe prove that every polynomial vector field on C2 that is complete on a transcendental (prop...
AbstractIt is proved that any polynomial vector field in two complex variables which is complete on ...
AbstractWe give a full classification, up to polynomial automorphisms, of complete polynomial vector...
International audienceWe study the classification of polynomial vector fields in two complex variabl...
AbstractWe investigate projections of homogeneous polynomial vector fields to level sets of homogene...
AbstractWe derive some restrictions on the possible degrees of algebraic invariant curves and on the...
We discuss criteria for the nonexistence, existence and computation of invariant algebraic surfaces ...
We give an algorithm for deciding whether a planar polynomial differential system has a first integr...
We determine all the C 1 planar vector fields with a given set of orbits of the form y − y(x) = 0 sa...
107 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2000.This work examines the behavi...
Work supported by NSERC.We describe the origin and evolution of ideas on topological and polynomial ...
We study the integrability of polynomial vector fields using Galois theory of linear differential eq...
AbstractWe classify the foliations associated to Hamiltonian vector fields on C2, with an isolated s...
We consider a plane polynomial vector field P (x, y)dx+Q(x, y)dy of degree m> 1, and show that as...
AbstractThe class bn of polynomial vector fields of degree n which define global flows in R2 is char...
AbstractWe prove that every polynomial vector field on C2 that is complete on a transcendental (prop...
AbstractIt is proved that any polynomial vector field in two complex variables which is complete on ...
AbstractWe give a full classification, up to polynomial automorphisms, of complete polynomial vector...
International audienceWe study the classification of polynomial vector fields in two complex variabl...
AbstractWe investigate projections of homogeneous polynomial vector fields to level sets of homogene...
AbstractWe derive some restrictions on the possible degrees of algebraic invariant curves and on the...
We discuss criteria for the nonexistence, existence and computation of invariant algebraic surfaces ...
We give an algorithm for deciding whether a planar polynomial differential system has a first integr...
We determine all the C 1 planar vector fields with a given set of orbits of the form y − y(x) = 0 sa...
107 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2000.This work examines the behavi...
Work supported by NSERC.We describe the origin and evolution of ideas on topological and polynomial ...
We study the integrability of polynomial vector fields using Galois theory of linear differential eq...
AbstractWe classify the foliations associated to Hamiltonian vector fields on C2, with an isolated s...
We consider a plane polynomial vector field P (x, y)dx+Q(x, y)dy of degree m> 1, and show that as...
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