Email:tcli@tsinghua.edu.cn

 

教育背景

博士(清华大学,1999)、副教授

工作履历

1987.08-现在,清华大学数学系,助教、讲师、副教授

2008.09-2009.08,美国加州理工学院,访问学者

2007.08-2007.11,法国里尔大学,访问学者

2001.12-2002.08,香港城市大学,访问学者

 

研究领域

复分析,动力系统与分形几何

学术成果

研究变分方程零点分支,环面几乎周期运动与Birkhoff猜想,非线性系统的输出调节,轴向运动弦线边界控制的镇定性,Lorenz系统和Chen系统的稳定性、同宿轨道和异宿轨道,随机时滞传染病SIR模型的稳定性和Lyapunov指数,美式期权定价的扰动方法。

[1] Tiecheng Li, Wenzao Huang. “A Bifurcation theorem for critical points of variational equation”, Chinese Science Bulletin, 41(5), pp.358-362(1996).

[2] Tiecheng Li, Wenzao Huang. “Birkhoff's conjecture and almost periodic motions on the torus”,Science in China (Series A), 40(3), pp. 279-284(1997).

[3] Tiecheng Li, Zhaolin Wang, and Junfeng Li. “Output regulation of the general nonlinear discrete-time system”, Applied Mathematics and Mechanics (English editions), 20(2), pp. 200-204(1999).

[4] Tiecheng Li, Guanrong Chen, and Yun Tang. “On Stability and Bifurcation of Chen's System”, Chaos, Solitons and Fractals, 19(5), pp. 1269-1282(2004).

[5] Tiecheng Li, Guoting Chen, and Guanrong Chen. “On Homoclinic and Hereroclinic Orbits of Chen's System”, International Journal of Bifurcation and Chaos, 16 (10), pp. 3035-3041(2006).

[6] Tie-cheng Li, Zhi-chao Hou, Jun-feng Li. “Stabilization analysis of a generalized nonlinear axially moving string by boundary velocity feedback”, Automatica, 44(2), pp. 498-503(2008).

[7] Guoting Chen, Tiecheng Li. “Stability of Stochastic Delayed SIR Model”, Stochastics and Dynamics, 9(2), pp. 231-252(2009).

[8] Jin E. Zhang, Tiecheng Li. “Pricing and Hedging American Options Analytically: a Perturbation Method”, Mathematical Finance, 20(1), pp. 59-87(2010).