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
AbstractWe consider the class of polynomial differential equations x˙=λx-y+Pn(x,y),y˙=x+λy+Qn(x,y), ...
In this paper we initiate the study of the Chebyshev property of Abelian integrals generated by a no...
AbstractWe derive an explicit system of Picard–Fuchs differential equations satisfied by Abelian int...
We consider a multivalued function of the form $H_{\varepsilon}=P_{\varepsilon}^{\alpha_0}\prod^{k}_...
International audienceWe study pseudo-abelian integrals associated with polynomial deformations of D...
AbstractWe investigate a polynomial perturbation of an integrable, non-Hamiltonian system with first...
AbstractWe consider functions of the form H0=P1a1⋯PkakeR/Q, with Pi, R, and Q∈R[x,y], which are (gen...
We study pseudo-abelian integrals associated with polynomial perturbations of Dar-boux integrable sy...
International audienceWe study pseudo-Abelian integrals associated with polynomial perturbations of ...
Abstract. We study pseudo-Abelian integrals associated with polynomial deformations of slow-fast Dar...
AbstractWith the help of Abel differential equations we obtain a new class of Darboux integrable pla...
Agraïments: The second author has been partially supported by FCT through CAMGDS, Lisbon
We develop techniques for the verification of the Chebyshev property of Abelian integrals. These tec...
Let H be a polynomial of degree m + 1 on C2 such that its generic fiber is biholomorphic to C∗, and ...
AbstractWe suggest an algorithm for derivation of the Picard–Puchs system of Pfaffian equations for ...
AbstractWe consider the class of polynomial differential equations x˙=λx-y+Pn(x,y),y˙=x+λy+Qn(x,y), ...
In this paper we initiate the study of the Chebyshev property of Abelian integrals generated by a no...
AbstractWe derive an explicit system of Picard–Fuchs differential equations satisfied by Abelian int...
We consider a multivalued function of the form $H_{\varepsilon}=P_{\varepsilon}^{\alpha_0}\prod^{k}_...
International audienceWe study pseudo-abelian integrals associated with polynomial deformations of D...
AbstractWe investigate a polynomial perturbation of an integrable, non-Hamiltonian system with first...
AbstractWe consider functions of the form H0=P1a1⋯PkakeR/Q, with Pi, R, and Q∈R[x,y], which are (gen...
We study pseudo-abelian integrals associated with polynomial perturbations of Dar-boux integrable sy...
International audienceWe study pseudo-Abelian integrals associated with polynomial perturbations of ...
Abstract. We study pseudo-Abelian integrals associated with polynomial deformations of slow-fast Dar...
AbstractWith the help of Abel differential equations we obtain a new class of Darboux integrable pla...
Agraïments: The second author has been partially supported by FCT through CAMGDS, Lisbon
We develop techniques for the verification of the Chebyshev property of Abelian integrals. These tec...
Let H be a polynomial of degree m + 1 on C2 such that its generic fiber is biholomorphic to C∗, and ...
AbstractWe suggest an algorithm for derivation of the Picard–Puchs system of Pfaffian equations for ...
AbstractWe consider the class of polynomial differential equations x˙=λx-y+Pn(x,y),y˙=x+λy+Qn(x,y), ...
In this paper we initiate the study of the Chebyshev property of Abelian integrals generated by a no...
AbstractWe derive an explicit system of Picard–Fuchs differential equations satisfied by Abelian int...
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