關(guān)于西班牙皇家科學(xué)院院士Jaume Llibre的學(xué)術(shù)報(bào)告預(yù)告
時(shí)間:2018年11月29日星期四 10:30-11:30
地點(diǎn):工業(yè)中心605
題目:Limit cycles for discontinuous planar piecewise linear differential
systems separated by a curve
報(bào)告人Jaume Llibre簡(jiǎn)介:西班牙皇家科學(xué)院院士、巴塞羅那自治大學(xué)教授。主要研究低維微分動(dòng)力系統(tǒng)的定性和分支理論及其應(yīng)用,發(fā)表論文近500篇,被他人引用1000多次。出版包括《Qualitative Theory of Planar Differential Systems》在內(nèi)的多部專著,現(xiàn)任SCI期刊《Qualitative Theory of Dynamical Systems》主編及《Applicationes Mathematicae》、《Int. J. Bifurcation and Chaos》、《Annals of Differential Equations》等期刊的編委。 Jaume Llibire教授是微分動(dòng)力系統(tǒng)領(lǐng)域的國(guó)際領(lǐng)軍人物,被邀請(qǐng)到多個(gè)不同國(guó)家的著名大學(xué)合作研究,培養(yǎng)了一大批優(yōu)秀博士研究生,其中一部分學(xué)生來自海外。
內(nèi)容摘要:First we shall present what it is known about the limit cycles of the discontinuous piecewise linear differential systems with two pieces separated by a straight line. Second we shall describe briefly some of the techniques for computing analytically the limit cycles of the mentioned discontinuous piecewise linear differential systems. Finally we study how changes the maximum number of limit cycles of the discontinuous piecewise linear differential systems with only two pieces depending on the shape of a curve, which separates the plane into two components.
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