学术活动

学术活动

Lagrangian stability for Semilinear Duffing equations with oscillating nonlinearities

主讲人:Wang  Yiqian教授(Nanjing University)

时  间:2014年7月7日(周一)下午4:00-5:00

地  点:必赢76net线路官网北一文科楼708教室

摘  要:Since the invention of KAM theory in 1960’s, lots of results have been obtained on the Lagrangian stability for Duffing equations. In the study of Duffing equations, suitable canonical transformations are needed to change the original systems into nearly-integrable ones such that KAM theory is applicable. For this purpose, however, some kind of growth condition  is usually needed tomeet the rather rigorous conditions of KAM theory. For this reason, there are very few results on Lagrangian stability for Duffing equations with oscillating potentials. In this talk, we will introduce some advances on it. These results show that the classical growth conditions are not necessary in many cases

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