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Intermittent behaviors in weakly coupled piecewise-expanding map lattices
时间  Datetime
2018-01-24 13:00 — 14:00 
地点  Venue
Middle Lecture Room
报告人  Speaker
王奕倩
单位  Affiliation
南京大学
邀请人  Host
于江
报告摘要  Abstract

Since 1980s, the existence of absolutely continuous invariant measures for weakly coupled piecewise-expanding map lattices (WCPEML) have been obtained by a functional analysis method. However, most of these results are not enough to study intermittent behaviors in WCPEML, which is observed almost everywhere in Lebesgue measure. Recently, we proposed a new method and proved this behavior. More precisely, we show that in WCPEML with two nodes, for almost every initial points, it holds that lim inf |x_1(n)-x_2(n)|= 0 and lim sup |x_1(n)-x_2(n)|>= c_0 > 0, where x_1(n),x_2(n) correspond to the coordinates of two nodes at the iterative step n. We also prove the same conclusion for weakly coupled tent-map lattices with any multi-nodes.