AbstractIn 1979 Jouanolou showed that if the number of invariant algebraic hypersurfaces of a polynomial vector field in Rn or Cn of degree d is at least (d+n−1n)+n, then the vector field has a rational first integral. His proof used sophisticated tools of algebraic geometry. We provide an easy and elementary proof of Jouanolou's result using linear algebra
We show that under rather general conditions a polynomial differential system having an elementary f...
We present a new method to compute rational first integrals of a planar polynomial vector field. The...
We present a new method to compute rational first integrals of a planar polynomial vector field. The...
In 1976 Jouanolou showed that if the number of invariant algebraic hypersurfaces of a polynomial vec...
AbstractIn 1979 Jouanolou showed that if the number of invariant algebraic hypersurfaces of a polyno...
In 1976 Jouanolou showed that if the number of invariant algebraic hypersurfaces of a polynomial vec...
Using sophisticated techniques of Algebraic Geometry Jouanolou in 1979 showed that if the number of ...
AbstractDarboux in 1878 provided a theory on the existence of first integrals of polynomial systems ...
AbstractDarboux in 1878 provided a theory on the existence of first integrals of polynomial systems ...
International audienceDarboux's theorem and Jouanolou's theorem deal with the existence of first int...
International audienceDarboux's theorem and Jouanolou's theorem deal with the existence of first int...
International audienceWe present fast algorithms for computing rational first integrals with bounded...
The Darbouxian theory of integrability allows to determine when a polynomial differential system in ...
AbstractWe present three main results. The first two provide sufficient conditions in order that a p...
We show that under rather general conditions a polynomial differential system having an elementary f...
We show that under rather general conditions a polynomial differential system having an elementary f...
We present a new method to compute rational first integrals of a planar polynomial vector field. The...
We present a new method to compute rational first integrals of a planar polynomial vector field. The...
In 1976 Jouanolou showed that if the number of invariant algebraic hypersurfaces of a polynomial vec...
AbstractIn 1979 Jouanolou showed that if the number of invariant algebraic hypersurfaces of a polyno...
In 1976 Jouanolou showed that if the number of invariant algebraic hypersurfaces of a polynomial vec...
Using sophisticated techniques of Algebraic Geometry Jouanolou in 1979 showed that if the number of ...
AbstractDarboux in 1878 provided a theory on the existence of first integrals of polynomial systems ...
AbstractDarboux in 1878 provided a theory on the existence of first integrals of polynomial systems ...
International audienceDarboux's theorem and Jouanolou's theorem deal with the existence of first int...
International audienceDarboux's theorem and Jouanolou's theorem deal with the existence of first int...
International audienceWe present fast algorithms for computing rational first integrals with bounded...
The Darbouxian theory of integrability allows to determine when a polynomial differential system in ...
AbstractWe present three main results. The first two provide sufficient conditions in order that a p...
We show that under rather general conditions a polynomial differential system having an elementary f...
We show that under rather general conditions a polynomial differential system having an elementary f...
We present a new method to compute rational first integrals of a planar polynomial vector field. The...
We present a new method to compute rational first integrals of a planar polynomial vector field. The...
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