演講公告

演講主題：Flocking in a New Discrete-Time and Discrete-State Cucker-Smale Model
主講人：梁育豪教授（高雄大學應用數學系）
演講日期：2022年12月6日(二) 14:00 – 15:00
演講地點：(光復校區) 科學一館223室
摘要內容：
Abstract. Collective motions are ubiquitous in nature and experiments. Nowadays, several models have been proposed to explain these. In this talk, we introduce a new discrete-time and discrete-state flocking model based on the Cucker-Smale one. Then some sufficient conditions to assert flocking dynamics occurs almost surely are derived. Roughly speaking, it happens as the communicate rate is less than or equal to some critical value. In the case of the large communicate rate, the probability that flocking can not be achieved for a given initial state is positive is also proved. Some numerical simulations to support our theoretical results are provided.
相關檔案：Talk_1111206.pdf

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