16 citations · 64 across the 21 of their papers we have counts for
Showing 2017Show all
2 papers · 1 filter
math.DS2017★ 6 cited
Coexistence of periodic-2 and periodic-3 caustics for nearly circular analytic billiard maps
Vadim Kaloshin, Jianlu Zhang
For symmetrically analytic deformation of the circle (with certain Fourier decaying rate), the necessary condition for the corresponding billiard map to keep the coexistence of per…
math.DS2017★ 10 cited
Improved stability for analytic quasi-convex nearly integrable systems and optimal speed of Arnold diffusion
Jianlu Zhang, Ke Zhang
We improve the global Nekhoroshev stability for analytic quasi-convex nearly integrable Hamiltonian systems. The new stability result is optimal, as it matches the fastest speed of…