劉期懷
劉期懷
steinian ian
劉期懷,1980年4月出生於湖南隆回,研究方向為常微分方程與動力系統。
工作與學習經歷:
2002-2006 桂林航天工業高等專科學校(教師);
2011-至今 桂林電子科技大學(講師).
獲獎情況:
2005年指導學生參加全國大學生數學建模競賽獲全國一等獎;
主要研究興趣:
1、玻色-愛因斯坦凝聚系統
2、KAM方法
3、非光滑哈密頓系統
Publications
1、Dnamics of Bose-Einstein condensates
● Qihuai Liu, Dingbian Qian. Modulated amplitude waves with nonzero phases in Bose-Einstein condensates,J. Math. Phys.2011,52(1)(also selected for Virtual Journal of Atomic Quantum Fluids,3 (9) (2011)). PDF arXiv:1103.5277
● Qihuai Liu, Dingbian Qian. Construction of modulated amplitude waves via averaging in collisionally inhomogeneous Bose-Einstein condensates 2011.PDF arXiv:1104.0993
2、KAM method
● Qihuai Liu, Dingbian Qian and Zhiguo Wang,Quasi-periodic solutions of the Lotka-Volterra Competition Systems with Quasi-periodic Perturbations,submitted to Discrete Cont. Dyn. -B . 2011
● Zhiguo Wang and Qihuai Liu, Dingbian Qian, Existence of quasi-periodic solutions and Littlewood’s boundedness problem of sub-linear impact oscillators,Nonlinear Anal.: TMA 2011,74(16).
● Qihuai Liu, Dingbian Qian and Zhiguo Wang,The stability of the equilibrium of the damped oscillator with damping changing sign,Nonlinear Anal.: TMA2010,73(7).
3、Non-smoothness Hamiltonian systems
● Qihuai Liu, Dingbian Qian and Bin Chu, Nonlinear systems with singular vector Φ-Laplacian under the Hartman-type condition,Nonlinear Anal.: TMA2011,74(8).
● Qihuai Liu and Zhiguo Wang,Periodic impact behavior of a class of Hamiltonian oscillators with obstacles,J. Math. Appl. Anal. 2010,365(1)
● Qihuai Liu, Xiying Sun and Dingbian Qian,Coexistence of unbounded solutions and periodic solutions of a class of planar systems with asymmetric nonlinearities,Bull. Soc. Math. Bel. 2010,17(4).