[1] L. Xu, W. Si, Y. Yi, Response tori in Hamiltonian systems of high order degeneracy-the super-critical case, Journal of Differential Equations, 429:612-645, 2025.
[2] L. Xu, Q. Hua, A. Liang, W. Si, Response solutions for nonlinear oscillator equation in high order degeneracy, Qualitative Theory of Dynamical Systems, 24:132, 2025.
[3] W. Si, L. Xu, Y. Yi, Stability and Response Solutions of Quasi-periodically Forced, (1+1) Point-Vortex Systems, Journal of Nonlinear Science, 35:110, 2025.
[4] J. Du, L. Xu, Y. Li, An infinite dimensional KAM theorem with normal degeneracy, Nonlinearity, 37:065021, 2024.
[5] Z. Tong, L. Xu, Y. Li, A sharp integrability condition on C1 linearization for planar contractions under modulus of continuity, Journal of Differential Equations, 413:370-410, 2024.
[6] L. Xu, M. Wu, W. Si, The existence of response tori for Hamiltonian with normal degeneracy, Journal of applied analysis and computation, 14(6):3227-3295, 2024.
[7] W. Si, L. Xu, Y. Yi, Response solutions in singularly perturbed quasi-periodically forced nonlinear oscillators, Journal of Nonlinear Science, 33:114, 2023.
[8] L. Xu, Y. Yi, Lower dimension tori of general types in multi-scale Hamiltonian systems, Nonlinearity, 32(6):2226-2245, 2019.
[9] L. Xu, Y. Li, Y. Yi, Poincare-Treschchev mechanism in multi-scale nearly integrable Hamiltonian systems, Journal of Nonlinear Science, 28(1):337-369, 2018.
