AbstractWe present three main results. The first two provide sufficient conditions in order that a planar polynomial vector field in C2 has a rational first integral, and the third one studies the number of multiple points that an invariant algebraic curve of degree n of a planar polynomial vector field of degree m can have in function of m and n
Agraïments:The first author is partially supported by the Spanish Government grant MTM2013-40998-P. ...
We give an algorithm for deciding whether a planar polynomial differential system has a first integ...
This work is based on Javier Chavarriga and Jaume Llibre’s article ([CL]), in which sufficient cond...
AbstractWe present three main results. The first two provide sufficient conditions in order that a p...
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...
International audienceWe present a new method to compute rational first integrals of planar polynomi...
In 1878 Darboux [6] showed how can be constructed the first integrals of planar polynomial vector fi...
We study algebraic integrability of complex planar polynomial vector fields X=A(x,y)(∂/∂x)+B(x,y)(∂/...
We give an algorithm for deciding whether a planar polynomial differential system has a first integr...
The main purpose of this paper is to characterize a germ of planar holomorphic vector field at an el...
AbstractIn 1979 Jouanolou showed that if the number of invariant algebraic hypersurfaces of a polyno...
We give an algorithm for deciding whether a planar polynomial differential system has a first integr...
AbstractThe main purpose of this paper is to characterize a germ of planar holomorphic vector field ...
In 1976 Jouanolou showed that if the number of invariant algebraic hypersurfaces of a polynomial vec...
Agraïments:The first author is partially supported by the Spanish Government grant MTM2013-40998-P. ...
We give an algorithm for deciding whether a planar polynomial differential system has a first integ...
This work is based on Javier Chavarriga and Jaume Llibre’s article ([CL]), in which sufficient cond...
AbstractWe present three main results. The first two provide sufficient conditions in order that a p...
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...
International audienceWe present a new method to compute rational first integrals of planar polynomi...
In 1878 Darboux [6] showed how can be constructed the first integrals of planar polynomial vector fi...
We study algebraic integrability of complex planar polynomial vector fields X=A(x,y)(∂/∂x)+B(x,y)(∂/...
We give an algorithm for deciding whether a planar polynomial differential system has a first integr...
The main purpose of this paper is to characterize a germ of planar holomorphic vector field at an el...
AbstractIn 1979 Jouanolou showed that if the number of invariant algebraic hypersurfaces of a polyno...
We give an algorithm for deciding whether a planar polynomial differential system has a first integr...
AbstractThe main purpose of this paper is to characterize a germ of planar holomorphic vector field ...
In 1976 Jouanolou showed that if the number of invariant algebraic hypersurfaces of a polynomial vec...
Agraïments:The first author is partially supported by the Spanish Government grant MTM2013-40998-P. ...
We give an algorithm for deciding whether a planar polynomial differential system has a first integ...
This work is based on Javier Chavarriga and Jaume Llibre’s article ([CL]), in which sufficient cond...
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