| 报告题目： | Modulation and control of oscillations in various systems |
| 报 告 人： | 林伟教授 |
| 复旦大学数学科学学院副院长 | |
| 报告时间： | Saturday, 24 December 2011, 10:10am � 11:00am |
| 报告地点： | js6668金沙登录入口四牌楼校区五四楼三楼数学系会议室 |
| 相关介绍： | Abstract: Both frequency and amplitude modulations (FM & AM) are crucial to information processing and functions realization in real physical, chemical and even biological systems. In this talk, a simple but rigorous approach is developed to modulate an oscillator, either in the frequency or in the amplitude domain. The proposed approach is first applied to the normal form undergoing the supercritical Hopf bifurcation where analytical formulations to modulate frequencies and amplitudes are obtained. To demonstrate the applicability of the proposed approach, both FM and AM for the FitzHugh-Nagumo model are designed. Moreover, a delayed feedback control is investigated for stabilizing the oscillation to equilibria. For achieving the stabilization of some oscillation, a particular kind of feedback configuration is required, which has not been reported in the literature. Biography: Wei Lin was born in Shanghai, China, in 1976. He received the Ph.D. degree in applied mathematics from Fudan University, Shanghai, China, in July 1998. In March 2003, Dr. Lin, as a Lecturer, joined the School of Mathematical Sciences, Fudan University, China, where, presently, he is a professor of applied mathematics. He is the Associate Editor of the International Journal of Bifurcation and Chaos. He received the Second Prize of the Fok-Ying-Tung Education Foundation Award for Young Scientists in Universities in 2010, and was selected as the Shuguang Scholar and New Century Excellent Talent of the Ministry of Education in, respectively, 2010 and 2011. His Research interests include: nonlinear dynamical systems, bifurcation and chaos theory, stochastic differential and difference equations, chaos control and synchronization, time series analysis, and computational systems biology. |
