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Complete classification on center of cubic planar systems with a line of symmetry

發(fā)布者:文明辦發(fā)布時(shí)間:2022-06-17瀏覽次數(shù):1053


主講人:李鋒 臨沂大學(xué)教授


時(shí)間:2022年6月18日14:30


地點(diǎn):騰訊會(huì)議 241 673 194


舉辦單位:數(shù)理學(xué)院


主講人介紹:李鋒,臨沂大學(xué)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院教授,碩士生導(dǎo)師,美國(guó)《數(shù)學(xué)評(píng)論》評(píng)論員,韓國(guó)水原大學(xué)兼職博士生導(dǎo)師。2012年于中南大學(xué)數(shù)學(xué)與計(jì)算科學(xué)學(xué)院獲理學(xué)博士學(xué)位。2014年,受?chē)?guó)家留學(xué)基金資助,赴加拿大西大略大學(xué)訪(fǎng)學(xué)一年?,F(xiàn)主持國(guó)家自然科學(xué)基金面上項(xiàng)目1項(xiàng)。在Journal of Differential Equations, 中國(guó)科學(xué)、Nonlinear Analysis等雜志發(fā)表論文20余篇,2016年獲山東省自然科學(xué)學(xué)術(shù)創(chuàng)新獎(jiǎng)。


內(nèi)容介紹:In this talk, bi-center and bi-isochronous center problems in cubic planar systems which are symmetric with respect to a straight line will be discussed. These systems can be transformed to ones which are symmetric with respect to the $y$-axis and have two symmetric singular points at $(\pm 1,0)$, which can be classified as elementary and nilpotent singular points. A complete classification is given on the centers, including nine conditions for elementary singular points and four conditions for nilpotent singular points. Moreover, six bi-isochronous center conditions are obtained for the elementary singular points.