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  • 天元讲堂(6.16):Genericity of mode-locking for quasiperiodically forced circle maps I
  • 浏览量:273 发布人:佚名 发布时间:2017-06-10 10:02:17
  • 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
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