We prove that the lowest upper bound for the number of isolated zeros of the Abelian integrals associated to quadratic Hamiltonian vector fields having a center and an invariant straight line after quadratic perturbations is one. 1
We consider the class of all polynomial systems having a conic center (i.e. all periodic orbits roun...
We consider the class of all polynomial systems having a conic center (i.e. all periodic orbits roun...
AbstractWe give an upper bound for the number of zeros of an Abelian integral. This integral control...
We prove that the lowest upper bound for the number of isolated zeros of the Abelian integrals assoc...
In this paper, we give an upper bound on the number of zeros of Abelian integrals for the quadratic ...
We study the number of zeros of Abelian integrals for the quadratic centers having almost all their ...
An upper bound B(n) less than or equal to 7n + 5 is derived for the number of zeros of Abelian integ...
In this article, we study four Abelian integrals over compact level curves of four sixth-degree hy...
The main objective of this paper is to provide an explicit and fairly accurate upper bound for the n...
Abstract. Consider the vector field x0 = -yG(x, y), y0 = xG(x, y), where the set of critical points...
Consider the vector field x′=−yG(x,y),y′=xG(x,y), where the set of critical points {G(x,y)=0} is for...
Abstract. We consider the number of zeros of the integral I(h) = Γ h ω of real polynomial form ω of ...
In this paper we consider the number of isolated zeros of Abelian integrals associated to the pertur...
this paper is an upper bound for the total number of real isolated zeros of complete Abelian integra...
We study upper bounds of the number of zeros of Abelian integrals of polynomial 1-forms of degree n ...
We consider the class of all polynomial systems having a conic center (i.e. all periodic orbits roun...
We consider the class of all polynomial systems having a conic center (i.e. all periodic orbits roun...
AbstractWe give an upper bound for the number of zeros of an Abelian integral. This integral control...
We prove that the lowest upper bound for the number of isolated zeros of the Abelian integrals assoc...
In this paper, we give an upper bound on the number of zeros of Abelian integrals for the quadratic ...
We study the number of zeros of Abelian integrals for the quadratic centers having almost all their ...
An upper bound B(n) less than or equal to 7n + 5 is derived for the number of zeros of Abelian integ...
In this article, we study four Abelian integrals over compact level curves of four sixth-degree hy...
The main objective of this paper is to provide an explicit and fairly accurate upper bound for the n...
Abstract. Consider the vector field x0 = -yG(x, y), y0 = xG(x, y), where the set of critical points...
Consider the vector field x′=−yG(x,y),y′=xG(x,y), where the set of critical points {G(x,y)=0} is for...
Abstract. We consider the number of zeros of the integral I(h) = Γ h ω of real polynomial form ω of ...
In this paper we consider the number of isolated zeros of Abelian integrals associated to the pertur...
this paper is an upper bound for the total number of real isolated zeros of complete Abelian integra...
We study upper bounds of the number of zeros of Abelian integrals of polynomial 1-forms of degree n ...
We consider the class of all polynomial systems having a conic center (i.e. all periodic orbits roun...
We consider the class of all polynomial systems having a conic center (i.e. all periodic orbits roun...
AbstractWe give an upper bound for the number of zeros of an Abelian integral. This integral control...