Abstract This paper is devoted to the study of the period function for a class of reversible quadratic system x=-2xy,y=k-1-2kx＋（k＋1）x^2-1/2y^2.We determine the monotonicity of the period function for each k ∈ R....Abstract This paper is devoted to the study of the period function for a class of reversible quadratic system x=-2xy,y=k-1-2kx＋（k＋1）x^2-1/2y^2.We determine the monotonicity of the period function for each k ∈ R. It is proved that the period function has at most one critical point.展开更多
文摘Abstract This paper is devoted to the study of the period function for a class of reversible quadratic system x=-2xy,y=k-1-2kx＋（k＋1）x^2-1/2y^2.We determine the monotonicity of the period function for each k ∈ R. It is proved that the period function has at most one critical point.
