rotation number造句

In order to prove the existence of the periodic boucing solutions , firstly we will introduce a new coordinate transformation , transform the system from right half plane to the whole plane . and give the relation of the eigenvalues of hill ' s equation and the rotation numbers , using this approach and pioncar - birkhoff twist theorem , we proved the existence of the periodic bouncing solutions for asymptotical linear oscillator
对于周期解的存在性证明，我们引进新的坐标变换把右半平面上的碰撞问题转化到整个平面上，给出旋转数与hill方程的特征值的关系，并以此来度量渐近线性振子，再应用pioncar - birkhoff扭转定理得到周期碰撞解的存在性。
It's difficult to find rotation number in a sentence. 用rotation number造句挺难的