报告题目：Early warning and suppression of noise-induced critical transitions

主讲人：许 勇 教授

时 间：2023年6月20日 上午9：00

地 点：骊山校园 图书馆2楼报告厅

报告人简介：

许勇，西北工业大学教授，博士生导师，国家杰出青年科学基金获得者，空天领域复杂性科学教育部重点实验室主任，德国洪堡学者（Experienced Researcher），陕西省“特支计划”科技创新领军人才，陕西省青年科技新星、陕西省青年科技奖和陕西省首届杰出青年基金获得者，西北工业大学优秀青年教师，翱翔青年学者。主要从事飞行器结构与强度、振动与控制、随机与非线性动力学等研究。主持国家自然科学基金重点国际合作研究项目和省部级项目等20余项，发表学术论文100余篇，获陕西省科学技术一等奖、教育部自然科学二等奖和陕西省教学成果特等奖等。担任Chaos，Nonlinear Dynamics，Complexity，Theoretical and Applied Mechanics Letters等期刊编委或副主编。现任陕西省振动工程学会理事长、全国工业统计教学研究会副会长、中国数学会理事、中国振动工程学会理事、中国宇航学会飞行器任务规划专业委员会委员等。

报告摘要：

  Noise-induced critical transitions (CTs) from one dynamical state to another contrasting one are widespread in real systems. Once they take place, it is often difficult to restore a system to the previous state, and may cause some catastrophic effects on human living environment, economy and health. Therefore, early warning and suppression of noise-induced CTs have been always the hottest topics in the investigation of nonlinear stochastic dynamics. In this presentation, Gaussian white noise-induced CTs between adjacent states and Lévy noise-induced CTs between two non-adjacent states are shown, respectively. Correspondingly, a more general early-warning indicator, the parameter dependent basin of the unsafe regime (PDBUR), is proposed. This is a new and efficient tool to quantify the ranges of the parameters where Gaussian white noise or Lévy noise-induced CTs may occur. Furthermore, by an external linear augmentation method, a new perspective to suppress noise-induced critical transitions away from a desirable state to another contrasting one is presented. All of these results may provide some guidance for managers to take some measures to avoid such catastrophic noise-induced critical transitions in practical applications.