江蘇省應用數學（中國礦業大學）中心系列學術報告
報告題目： Stochastic bifurcation for two-time-scale dynamical system with α-stable Lévy noise
報告人：袁勝蘭助理研究員
報告時間：2023/6/08 10:00-12:00
地點：數A310
報告摘要：This work focuses on stochastic bifurcation for a slow–fast dynamical system driven by non-Gaussian α-stable Lévy noise. We prove the main result for the stochastic equilibrium states for the original system and the reduced system based on the random slow manifold. Then, it is verified that the slow reduced system bears the stochastic bifurcation phenomenon inherited from the original system. Furthermore, we investigate the number and stability type of stochastic equilibrium states for dynamical systems through numerical simulations, and it is illustrated that the slow reduced system captures the stochastic bifurcation of the original system. This is a joint work with Zhigang Zeng and Jinqiao Duan.
報告人簡介：袁勝蘭，助理研究員。2017年9月至2018年8月前往德累斯頓工業大學CSC聯合培養博士。2019年6月獲華中科技大學概率論與數理統計專業博士學位。随後加入華中科技大學人工智能與自動化學院從事博士後研究。而後任德國奧格斯堡大學助理研究員職位。研究方向為 Lévy 過程驅動的随機動力系統、量子力學、統計物理和随機分析。近五年在 SIAM Journal on Applied Dynamical Systems、Journal of Statistical Mechanics、 Analysis and Applications等國際重要期刊上發表 14 篇學術論文。