题目:   Equilibria for quasi-periodic Frenkel-Kontorova model using a KAM approach
报告人:   苏喜锋博士  (北京师范大学威尼斯人 )
时间:   11月7日(周五)上午 10:00-11:00
地点:   精正楼二楼学术报告厅.
 
摘要:  
We consider Frenkel-Kontorova models corresponding to one-dimensional quasi-crystals. According to the arithmetic properties of the rotation numbers, we develop different arguments to show the existence of the associated quasi-periodic equilibria using Nash-Moser iterative method.
 
The results presented have an a-posteriori format. That is, we show that, given an approximate solution of the equilibrium equation, which satisfies some appropriate non-degeneracy conditions, then, there is a true solution nearby. Since the system does not admit an easy dynamical formulation, the method of proof is based on developing several identities, auxiliary equations and functional equations.