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Global-Stability Problems for Coupled Systems on Networks
澳门新葡8455最新网站:2010年07月30日 00:00 点击数:

报告人:帅智圣

报告地点:澳门新葡8455最新网站6楼报告厅(615室)

报告澳门新葡8455最新网站:2010年08月02日 15:30-17:00

邀请人:

报告摘要:

In this talk we introduce a mathematical framework -- Coupled Systems on Networks -- that describes a wide variety of physical, natural, and artificial complex dynamical systems: from biological and artificial neural networks, coupled systems of nonlinear oscillators on lattices, to complex ecosystems and the transmission models of infectious diseases in heterogeneous populations. We then give our new results (in collaboration with Michael Li) that address the global-stability problem for coupled systems on networks. Our results utilize a graph-theoretic approach to the constructions of Lyapunov functions for coupled systems on networks. We apply our results to several coupled systems in engineering, mathematical ecology, and mathematical epidemiology. Our results allow us to improve existing results in the literature and, particularly, resolve a 30-year open problem in mathematical epidemiology.

主讲人概况:

帅智圣,加拿大University of Alberta博士,University of Victoria 博士后。从事常微分方程和动力系统的研究。

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