8 citations · 19 across the 18 of their papers we have counts for
19 papers
Integrability for conformally symplectic systems
Marie-Claude Arnaud, Xifeng Su, Maxime Zavidovique
The goal of this paper is to study the dynamics of conformally symplectic Hamiltonian flows under the light of integrability. As the dynamics of conformally symplectic Hamiltonian…
KAM Theory for almost-periodic equilibria in one dimensional almost-periodic media
Yujia An, Rafael de la Llave, Xifeng Su +2
We consider one dimensional chains of interacting particles subjected to one dimensional almost-periodic media. We formulate and prove two KAM type theorems corresponding to both s…
Regularity results for solutions of mixed local and nonlocal elliptic equations
Xifeng Su, Enrico Valdinoci, Yuanhong Wei +1
We consider the mixed local-nonlocal semi-linear elliptic equations driven by the superposition of Brownian and Lévy processes \begin{equation*} \left\{ \begin{array}{ll} - Δu + (-…
Lipschitz sub-actions for locally maximal hyperbolic sets of a maps
Xifeng Su, Philippe Thieullen, Wenzhe Yu
Livšic theorem asserts that, for Anosov diffeomorphisms/flows, a Lipschitz observable is a coboundary if all its Birkhoff sums on every periodic orbits are equal to zero. The trans…
Essential forward weak KAM solution for the convex Hamilton-Jacobi equation
Xifeng Su, Jianlu Zhang
For a convex, coercive continuous Hamiltonian on a compact closed Riemannian manifold , we construct a unique forward weak KAM solution of \[ H(x, d_x u)=c(H) \] by a vanishing…
On the existence of solutions for Frenkel-Kontorova models on quasi-crystals
Jianxing Du, Xifeng Su
This article focuses on recent investigations on equilibria of the Frenkel-Kontorova models subjected to potentials generated by quasi-crystals. We present a specific one-dimension…