报告题目：Genericity of mode-locking for quasiperiodically forced circle maps I


报告人 王婧（南京理工大学）


报告时间 2017年6月16日09:00-10:00

报告地点  维格堂319

报告摘要 Using the geometrical description of mode-locking phenomenon, we show that a generic quasiperiodically forced circle homeomorphism is mode-locked:
the rotation number in the base is rationally related to the rotation number in the base
and it is stable under small perturbations of the system. This is a joint work with T. Jaeger and Q. Zhou.


报告题目：Genericity of mode-locking for quasiperiodically forced circle maps II

报告人 王婧（南京理工大学）


报告时间 2017年6月16日10:00-11:00

报告地点  维格堂319

报告摘要  As a conseconce of the genericity of mode-locking for quasiperiodically forced circle homeomorphisms, 
we show that for a generic parameter family of quasiperiodically forced circle homeomorphisms satisfying
a twist condition, the graph of the rotation number as a function of the parameter
is a devil's staircase. This is a joint work with T. Jaeger and Q. Zhou