一类二次可逆中心的周期函数的单调性

Monotonicity for Period Functions of a Class of Quadratic Reversible Centers

研究一类二次可逆中心周期轨道的周期单调性问题.首先给出该类中心周期函数的Taylor级数表达式,再根据Taylor级数表达式判定其周期函数是单调的.

In this paper,we investigate the monotonicity of period function of periodic orbits for a class of quadartic reversible center.We firstly give the Taylor series expressions of the period function.Then,by the obtained Taylor series expressions of the period functions,we prove that the period function is monotone.