主要论文
近期代表性论文:
Qihuai Liu, Pero J. Torres, Stability of Motion Induced by a Point Vortex Under Arbitrary Polynomial Perturbations,SIAM Journal on Applied Dynamical Systems,20,1,149-164,2021.
Yufei Chen, Qihuai Liu*, Heng Su, Generalized Hamiltonian forms of dissipative mechanical systems via a unified approach,Journal of Geometry and Physics,160,1,103976,2021.
Xia Li, Qihuai Liu, A novel result on regularity of time‐periodic Lagrangians,Mathematical Methods in the Applied Sciences,43,11,6968-6975,2020.
Qihuai Liu, Pero J. Torres, Mingyan Xing, Modulated amplitude waves with non-trivial phase of multi-component Bose–Einstein condensates in optical lattices,IMA Journal of Applied Mathematics, 84, 1,145-170,2019.
Qihuai Liu, Pero J. Torres, Chao Wang. Contact Hamiltonian dynamics: Variational principles, invariants, completeness and periodic behavior.Annals of Physics, 2018, 395(8): 22-44.
Qihuai Liu, Lukai Huang, Guirong Jiang. Remarks on periodic oscillations of the relativistic pendulum with friction.Electronic Journal of Differential Equations, 2017, 2017(40):1-10.
Qihuai Liu, Xinxiang Li, Jun Yan. On the large time behavior of solutions for a class of time-dependent Hamilton-Jacobi equations.Science China Mathematics, 2016, 59(5): 875-890.
Qihuai Liu, Kaizhi Wang,Lin Wang,Jun Yan. A necessary and sufficient condition forconvergence of the Lax-Oleinik semigroup for reversible Hamiltonians on R.Journal of Differential Equations, 2016, 261(10): 5289~5305.
Chao Wang, Dingbian Qian,Qihuai Liu*. Impact oscillators of Hill's type with indefinite weight.Discrete and Continuous Dynamical System-A, 2016, 36(4): 2305-2328.
Qihuai Liu,Xia Li,Dingbian Qian. An abstract theorem on the existence of periodic motions of non-autonomous Lagrange systems.Journal of Differential Equations, 2016, 261(10): 5784~5802.
Qihuai Liu,Chao Wang, Zhiguo Wang. On Littlewood's boundedness problem for relativistic oscillators with anharmonic potentials. Journal of Differential Equations, 2014,27(1):1-32.