- 03-466 A.Apte, A.Wurm, P.J.Morrison
- Renormalization for breakup of invariant tori
(390K, RevTeX 4)
Oct 14, 03
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Abstract. We present renormalization group operators for the breakup of
invariant tori with winding numbers that are quadratic irrationals.
We find the simple fixed points of these operators and interpret the
map pairs with critical invariant tori as critical fixed points.
Coordinate transformations on the space of maps relate these fixed
points, and also induce conjugacies between the corresponding