Mixed-mode oscillations (MMOs) in a three-timescale three-dimensional food chain model

发布时间：2022-05-03 作者：77779193永利官网浏览次数：

Speaker:	沈建和	DateTime:	2022年5月6日（周五）下午2:00-3:00
Brief Introduction to Speaker: 沈建和，博士、教授、博士生导师，目前就职于福建师范大学数学与统计学院；兼任美国《数学评论》和德国《数学文摘》评论员、中国数学会奇异摄动专业委员会副主任委员等；研究方向为奇异摄动理论及应用；已在《Philosophical Transactions of the Royal Society A》《Physica D: Nonlinear Phenomenon》《Journal of Dynamics and Differential Equations》《Discrete and Continuous Dynamical Systems》《Discrete and Continuous Dynamical Systems-B》等杂志发表论文约30篇；（曾）主持国家自然科学基金面上项目和青年项目、中国博士后科学基金、福建省自然科学基金面上项目等；入选百千万人才工程省级人选（2019年）和福建省雏鹰计划青年拔尖人才计划（2020年）等。		Place:	腾讯会议：402570480
Abstract:In this paper, we will study the bifurcations of mixed-mode oscillations in a singularly perturbed tritrophic food chain model with three distinct timescales. Based on geometric singular perturbation theory (GSPT) and bifurcation theory, a variety of rich and interesting dynamics, including the birth of mixed-mode oscillations (MMOs), relaxation oscillations, canard explosion and bistability are observed in this three-timescale three-dimensional slow-fast model.