Add to ORKGAbstract This is a survey on recent results providing sufficient conditions for the existence of a first integral, first for vector fields defined on real surfaces, and second for polynomial vector fields in Rn or Cn with n ≥ 2. We also provide an open question and some applications based on the existence of such first integrals
Agraïments: The second author is partially supported by NNSF of China grant 10831003 and Shanghai Pu...
In 1976 Jouanolou showed that if the number of invariant algebraic hypersurfaces of a polynomial vec...
We apply the Darboux theory of integrability to polynomial ODE’s of dimension 3. Using this theory a...
This is a survey on recent results providing sufficient conditions for the existence of a first inte...
Altres ajuts: ICREA AcademiaWe study the existence of first integrals for the class of reversible an...
In many problems appearing in applied mathematics in the nonlinear ordinary differential systems, as...
In many problems appearing in applied mathematics in the nonlinear ordinary differential systems, as...
In many problems appearing in applied mathematics in the nonlinear ordinary differential systems, as...
The Darbouxian theory of integrability allows to determine when a polynomial differential system in ...
AbstractFor a class of polynomial differential systems of degree (m1,…,md) in Rd which is open and d...
We give necessary and sufficient conditions for the complete integrability of first order N-dimensio...
We show that under rather general conditions a polynomial differential system having an elementary f...
Agraïments: The second author was supported by Portuguese National Funds through FCT - Fundacâo para...
We give necessary and sufficient conditions for the complete integrability of first order N-dimensio...
We consider differential systems obtained by coupling two Euler–Poinsot systems. The motivation to c...
Agraïments: The second author is partially supported by NNSF of China grant 10831003 and Shanghai Pu...
In 1976 Jouanolou showed that if the number of invariant algebraic hypersurfaces of a polynomial vec...
We apply the Darboux theory of integrability to polynomial ODE’s of dimension 3. Using this theory a...
This is a survey on recent results providing sufficient conditions for the existence of a first inte...
Altres ajuts: ICREA AcademiaWe study the existence of first integrals for the class of reversible an...
In many problems appearing in applied mathematics in the nonlinear ordinary differential systems, as...
In many problems appearing in applied mathematics in the nonlinear ordinary differential systems, as...
In many problems appearing in applied mathematics in the nonlinear ordinary differential systems, as...
The Darbouxian theory of integrability allows to determine when a polynomial differential system in ...
AbstractFor a class of polynomial differential systems of degree (m1,…,md) in Rd which is open and d...
We give necessary and sufficient conditions for the complete integrability of first order N-dimensio...
We show that under rather general conditions a polynomial differential system having an elementary f...
Agraïments: The second author was supported by Portuguese National Funds through FCT - Fundacâo para...
We give necessary and sufficient conditions for the complete integrability of first order N-dimensio...
We consider differential systems obtained by coupling two Euler–Poinsot systems. The motivation to c...
Agraïments: The second author is partially supported by NNSF of China grant 10831003 and Shanghai Pu...
In 1976 Jouanolou showed that if the number of invariant algebraic hypersurfaces of a polynomial vec...
We apply the Darboux theory of integrability to polynomial ODE’s of dimension 3. Using this theory a...