In this paper, we study the number of bifurcated limit cycles from some polynomial systems
with a double homoclinic loop passing through a nilpotent saddle surrounded by a …

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 …

The sixteen generators of Abelian integral I (h)= ∮ _ Γ _h g (x, y) dx-f (x, y) dy I (h)=∮ Γ hg
(x, y) dx-f (x, y) dy, which satisfy eight different Picard–Fuchs equations respectively, are …

Using the combination of qualitative analysis and numerical calculation, the limit cycle
number and stability of the two mechanical systems are discussed. First of all, the limit cycles …

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 …