報告題目: Limit cycles near homoclinic and heteroclinic loops under small perturbations
報告時間: 2023年4月4日(星期二), 19:00-19:45
報告地點: 騰訊會議 305 524 828
內(nèi)容摘要: In this talk, we use (high-order) Melnikov functions to study bifurcations of limit cycles around homoclinic and heteroclinic loops in near-Hamiltonian systems with small perturbations. An algorithm is constructed for the computation of the coefficients of the corresponding expansion of the first order Melnikov functions. New lower bounds are obtained for the number of limit cycles produced around homolinic and heterclinic loops in planar cubic systems.
報告人簡介: 田云，上海師范大學(xué)數(shù)理學(xué)院教授，博士生導(dǎo)師。主要從事微分方程定性理論、計算機符號計算和傳染病模型的研究工作，特別關(guān)注弱化的Hilbert第16問題、同宿異宿極限環(huán)分支和規(guī)范型的符號計算等相關(guān)問題，已發(fā)表學(xué)術(shù)論文30余篇。主持國家自然科學(xué)基金項目兩項，入選上海青年東方學(xué)者和上海市青年科技啟明星計劃。
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