A mean-field approach for the asymptotic tracking of continuum target clouds
主讲人：Seung Yeal Ha
Seung-Yeal Ha 教授，韩国科学与工程院院士、首尔国立大学数学系教授，韩国科学奖、青年科学奖、KSIAM-Kumkok奖的获得者，国际数学家大会45分钟报告人。主要研究方向为双曲守恒律，气体动力学理论，多智能体系统的群体行为。
内容摘要：
In this talk, we propose a new coupled kinetic system arising from the asymptotic tracking of a continuum target cloud, and study its asymptotic tracking property. For the proposed kinetic system, we present an energy functional which is monotonic and distance between particle trajectories corresponding to kinetic equations for target, and tracking ensembles tend to zero asymptotically under a suitable sufficient framework. The framework is formulated in terms of system parameters and initial data. This is a joint work with Hyunjin Ahn (Myongji Univ. Korea)
Kinetic modeling of a leader-follower system in crowd evacuation with collective learning
主讲人：廖杰
廖杰，上海财经大学数学学院教授、博士生导师。研究方向：多智能体系统建模和数学理论分析。在Mathematical Models and Methods in Applied Sciences 、Proceedings of the Royal Society of Edinburgh, Section A: Mathematics、Journal of Statistical Physics、 Journal of Differential Equations 等国际重要期刊上发表学术论文20余篇。
内容摘要：
The kinetic modeling approach can be applied effectively to model collective behavior of human crowds. We present a kinetic modeling on crowd evacuation of a system with leaders and followers, as well as their collective learning. Numerical comparison of evacuation with and without learning shows a reasonably good predictive ability of the model that the learning effect plays a significant role in the evacuation dynamics.
On a generalized Kuramoto-type model and voting dynamics
主讲人：李祝春
李祝春，哈尔滨工业大学教授、博士生导师，研究方向: 集群动力学、群体智能及应用. 在SIAM Journal on Applied Dynamical Systems、 SIAM Journal on Control and Optimization、 Nonlinearity、Mathematical Models and Methods in Applied Sciences等国际重要期刊上发表学术论文30余篇。
内容摘要：
In this talk, we discuss a variant of Kuramoto model which possess some nice properties which extend to voting dynamics. In this model, phases are forced to approach bipolar states, thereby stabilizing them. This induces multi-stability and results in complex asymptotic behaviors. This system can be extended to model the voting dynamics on a binary electoral question and describe the formation of voting decision in a community.