主講人：曾才斌 華南理工大學(xué)副教授

時(shí)間：2022年11月11日9：00

地點(diǎn)：騰訊會(huì)議 560 281 250

舉辦單位：數(shù)理學(xué)院

主講人介紹：曾才斌，副教授，博士生導(dǎo)師?，F(xiàn)任職于華南理工大學(xué)數(shù)學(xué)學(xué)院，主要從事隨機(jī)微分方程與動(dòng)力系統(tǒng)的研究。主持國(guó)基面上2項(xiàng)、國(guó)基青年、國(guó)基天元與3項(xiàng)省部級(jí)項(xiàng)目，在JDE、Chaos等期刊發(fā)表三十余篇學(xué)術(shù)論文。

內(nèi)容介紹：In this talk we report the Morse theory on uniform random attractors for non-autonomous random dynamical systems. To handle the non-invariance of uniform random attractors, we construct the Morse sets of uniform random attractor as the projections of the Morse sets on pullback attractor of the skew product semiflow. First, we obtain the Morse decomposition of uniform random attractors in probability. Second, we describe a decaying energy level on such attractor by Lyapunov function with probability one. Furthermore, we study the stability of Morse decompositions of deterministic uniform attractor under a small random disturbance. Finally, we discuss and collect the results on the Morse decomposition under random setting.