For the quadratic reversible centers of genus one (r7), its all periodic orbits are quartic
curves. Using the method of Picard-Fuchs equation and Riccati equation, we study that the …

For the quadratic reversible systems of genus one, all of their periodic orbits are higher-
order algebraic curves. When they are perturbed by polynomials of degree n, the numbers of …

In this paper, using the method of Picard-Fuchs equation and Riccati equation, we consider
the number of zeros for Abelian integrals in a kind of quadratic reversible centers of genus …

This paper is motivated by the Chebyshev property of a family of Abelian integrals along non-
algebraic level ovals. A new criterion is established to study the Chebyshev property of …

This paper studies the monotonicity of the ratio of two hyperelliptic Abelian integrals I 0
(h)=∮ Γ hydx and I 1 (h)=∮ Γ hxydx, where Γ h is a compact component of the level set {(x …

In this paper, we present a new criterion function for investigating the monotonicity of the
ratio of two Abelian integrals in piecewise-smooth differential systems, and then, apply it to …

Neste trabalho estamos interessados em alguns tópicos e problemas acerca da teoria
qualitativa dos sistemas diferenciais. Analisamos algumas bifurcações de uma classe de …

This paper studies the limit cycles produced by small perturbations of certain planar
Hamiltonian systems. The limit cycles under consideration correspond to critical levels of the …