ROTATION NUMBER OF A CIRCLE HOMEOMORPHISM

  • Published : 2004.06.25

Abstract

We knew attractive qualities of a rotation number for an analytic diffeomorphism, for example, Arnold tongues and staircase. Numerical computer simulation let us know easily that the pattern of rotation number of a non analytic homeomorphism is similar to its of an analytic homeomorphism for some cases. Also we define new rotation function and investigate it's properties.

Keywords