數學系 Seminar 第2075期
報告主題： 單調半流漸近傳播速度分析及其在神經網絡系統中的應用
報 告 人：余志先 教授 （上海師范大學）
報告時間：2021年1月21日（周四） 14:00
參會方式：騰訊會議
會議 ID：516436248
邀 請 人：趙發友
主辦部門：理學院數學系
報告摘要：In this report, we mainly investigate the properties of spreading speeds for the monotone semiflows. According to the fundamental work of Liang and Zhao [(2007) Comm. Pure Appl. Math. 60], the spreading speeds of the monotone semiflows can be derived via the principal eigenvalue of linear operators relating to the semiflows. We establish a general method to analyze the sign and the continuity of the spreading speeds. Then we consider a limiting case which admits no spreading phenomenon. The results can be applied to the model of cellular neural networks (CNNs for short). In this model, we find the rule which determines the propagating phenomenon by parameters. This talk is based on a joint work with Dr. Lei Zhang (European J. Appl. Math. 2020).
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