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
Agraïments: The second author is partially supported by the Spanish grant SAB2005-0029, NSF of China...
We give an algorithm for deciding whether a planar polynomial differential system has a first integr...
Let (F-1, . . . , F-n) : C-n -> C-n be a locally invertible polynomial map. We consider the canonica...
AbstractThe class bn of polynomial vector fields of degree n which define global flows in R2 is char...
International audienceWe study the classification of polynomial vector fields in two complex variabl...
We consider a plane polynomial vector field P (x, y)dx+Q(x, y)dy of degree m> 1, and show that as...
AbstractWe give a full classification, up to polynomial automorphisms, of complete polynomial vector...
AbstractWe prove that every polynomial vector field on C2 that is complete on a transcendental (prop...
We characterize the bounded polynomial vector fields in R2. Additionally we provide a necessary cond...
AbstractWe study a class of quadratic reversible polynomial vector fields on S2. We classify all the...
We study a class of quadratic reversible polynomial vector fields on S-2. We classify all the center...
AbstractIt is proved that any polynomial vector field in two complex variables which is complete on ...
Abstract. We describe the complete polynomial vector fields in the unit ball of a Euclidean space. 1
AbstractA procedure for investigating the global observability of a class of vectorfields is propose...
AbstractWe study the dynamical behaviour of polynomial hamiltonian planar vector fields. Particularl...
Agraïments: The second author is partially supported by the Spanish grant SAB2005-0029, NSF of China...
We give an algorithm for deciding whether a planar polynomial differential system has a first integr...
Let (F-1, . . . , F-n) : C-n -> C-n be a locally invertible polynomial map. We consider the canonica...
AbstractThe class bn of polynomial vector fields of degree n which define global flows in R2 is char...
International audienceWe study the classification of polynomial vector fields in two complex variabl...
We consider a plane polynomial vector field P (x, y)dx+Q(x, y)dy of degree m> 1, and show that as...
AbstractWe give a full classification, up to polynomial automorphisms, of complete polynomial vector...
AbstractWe prove that every polynomial vector field on C2 that is complete on a transcendental (prop...
We characterize the bounded polynomial vector fields in R2. Additionally we provide a necessary cond...
AbstractWe study a class of quadratic reversible polynomial vector fields on S2. We classify all the...
We study a class of quadratic reversible polynomial vector fields on S-2. We classify all the center...
AbstractIt is proved that any polynomial vector field in two complex variables which is complete on ...
Abstract. We describe the complete polynomial vector fields in the unit ball of a Euclidean space. 1
AbstractA procedure for investigating the global observability of a class of vectorfields is propose...
AbstractWe study the dynamical behaviour of polynomial hamiltonian planar vector fields. Particularl...
Agraïments: The second author is partially supported by the Spanish grant SAB2005-0029, NSF of China...
We give an algorithm for deciding whether a planar polynomial differential system has a first integr...
Let (F-1, . . . , F-n) : C-n -> C-n be a locally invertible polynomial map. We consider the canonica...