International audienceWe study pseudo-abelian integrals associated with polynomial deformations of Darboux systems having a cuspidal singularity. Under some genericity hypothesis we provide locally uniform boundedness of on the number of their zeros
Abstract. We derive an explicit system of Picard–Fuchs differential equa-tions satisfied by Abelian ...
International audienceDarboux's theorem and Jouanolou's theorem deal with the existence of first int...
AbstractWe derive an explicit system of Picard–Fuchs differential equations satisfied by Abelian int...
International audienceWe study pseudo-abelian integrals associated with polynomial deformations of D...
International audienceWe study pseudo-Abelian integrals associated with polynomial perturbations of ...
We study pseudo-abelian integrals associated with polynomial perturbations of Dar-boux integrable sy...
Abstract. We study pseudo-Abelian integrals associated with polynomial deformations of slow-fast Dar...
We consider a multivalued function of the form $H_{\varepsilon}=P_{\varepsilon}^{\alpha_0}\prod^{k}_...
AbstractWe consider functions of the form H0=P1a1⋯PkakeR/Q, with Pi, R, and Q∈R[x,y], which are (gen...
AbstractWe investigate a polynomial perturbation of an integrable, non-Hamiltonian system with first...
Agraïments: The third author is partially supported by NNSF of China grant number 10831003 and RFDP ...
The Darbouxian theory of integrability allows to determine when a polynomial differential system in ...
AbstractDarboux in 1878 provided a theory on the existence of first integrals of polynomial systems ...
AbstractWe suggest an algorithm for derivation of the Picard–Puchs system of Pfaffian equations for ...
AbstractThe finite generators of Abelian integral I(h)=∮Γhf(x,y)dx−g(x,y)dy are obtained, where Γh i...
Abstract. We derive an explicit system of Picard–Fuchs differential equa-tions satisfied by Abelian ...
International audienceDarboux's theorem and Jouanolou's theorem deal with the existence of first int...
AbstractWe derive an explicit system of Picard–Fuchs differential equations satisfied by Abelian int...
International audienceWe study pseudo-abelian integrals associated with polynomial deformations of D...
International audienceWe study pseudo-Abelian integrals associated with polynomial perturbations of ...
We study pseudo-abelian integrals associated with polynomial perturbations of Dar-boux integrable sy...
Abstract. We study pseudo-Abelian integrals associated with polynomial deformations of slow-fast Dar...
We consider a multivalued function of the form $H_{\varepsilon}=P_{\varepsilon}^{\alpha_0}\prod^{k}_...
AbstractWe consider functions of the form H0=P1a1⋯PkakeR/Q, with Pi, R, and Q∈R[x,y], which are (gen...
AbstractWe investigate a polynomial perturbation of an integrable, non-Hamiltonian system with first...
Agraïments: The third author is partially supported by NNSF of China grant number 10831003 and RFDP ...
The Darbouxian theory of integrability allows to determine when a polynomial differential system in ...
AbstractDarboux in 1878 provided a theory on the existence of first integrals of polynomial systems ...
AbstractWe suggest an algorithm for derivation of the Picard–Puchs system of Pfaffian equations for ...
AbstractThe finite generators of Abelian integral I(h)=∮Γhf(x,y)dx−g(x,y)dy are obtained, where Γh i...
Abstract. We derive an explicit system of Picard–Fuchs differential equa-tions satisfied by Abelian ...
International audienceDarboux's theorem and Jouanolou's theorem deal with the existence of first int...
AbstractWe derive an explicit system of Picard–Fuchs differential equations satisfied by Abelian int...
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