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动力系统与非线性分析研究所学术报告(沈建和教授,福建师范大学)

来源:系统管理员 发布时间:2024-04-22

报告题目:Canard explosion in piecewise smooth systems with a fold–cusp singularity via regularization

报告人:沈建和教授,福建师范大学

报告时间:2024426 09:00-10:00

报告地点:20-200

报告摘要:This article studies the birth of canard cycle and maximal canard in a piecewise smooth system with a fold–cusp singularity via regularization and blow-up technique. By introducing two scales in the regions respectively near and outside the switch manifold, a slow-fast framework in the setting of piecewise smooth systems is set up. By blowing up the degenerate objects, the process of canard explosion in piecewise smooth system with a fold–cusp singularity can be revealed.

报告人简介:沈建和教授,研究方向为奇异摄动理论及应用,研究成果发表在Philosophical Transactions of the Royal Society APhysica D: Nonlinear PhenomenonJournal of Dynamics and Differential EquationsDiscrete and Continuous Dynamical Systems等杂志。