6 citations · 8 across the 2 of their papers we have counts for
2 papers
math.DS2022★ 2 cited
Homoclinic and heteroclinic intersections for lemon billiards
Xin Jin, Pengfei Zhang
We study the dynamical billiards on a symmetric lemon table , where is the intersection of two unit disks with center distance . We show that th…
math.DS2021★ 6 cited
Birkhoff Normal Form and Twist Coefficients of Periodic Orbits of Billiards
Xin Jin, Pengfei Zhang
In this paper we study the Birkhoff Normal Form around elliptic periodic points for a variety of dynamical billiards. We give an explicit construction of the Birkhoff transformatio…