Special Session 126: 

On-off intermittency and chaotic walks

Ale Jan Homburg
University of Amsterdam
Netherlands
Co-Author(s):    Vahatra Rabodonandrianandraina
Abstract:
We consider a class of skew product maps of interval diffeomorphisms over the doubling map. The interval maps fix the end points of the interval. It is assumed that the system has zero fiber Lyapunov exponent at one endpoint and zero or positive fiber Lyapunov exponent at the other endpoint. We discuss the appearance of on-off intermittency. A main ingredient is the equivalent description in terms of chaotic walks: random walks driven by the doubling map.