# Golden mean renormalization for a generalized Harper equation: The strong coupling fixed point

preprint

posted on 03.02.2006, 12:25 by B.D. Mestel, Andrew H. OsbaldestinWe construct a renormalisation fixed point corresponding to the strong coupling limit of the golden
mean Harper equation. We give an analytic expression for this fixed point, establish its existence and
uniqueness, and verify properties previously seen only in numerical calculations. The spectrum of the
linearisation of the renormalisation operator at this fixed point is also explicitly determined. This strong
coupling fixed point also helps describe the onset of a strange nonchaotic attractor in quasiperiodically
forced systems.

## History

## School

- Science

## Department

- Mathematical Sciences