15 citations · 49 across the 14 of their papers we have counts for
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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…
math.DS2019★ 5 cited
Hyperbolicity of asymmetric lemon billiards
Xin Jin, Pengfei Zhang
Asymmetric lemon billiards was introduced in [CMZZ], where the billiard table is the intersection of two round disks with radii , respectively, and measures…