October  2004, 11(4): 881-909. doi: 10.3934/dcds.2004.11.881

A renormalization group fixed point associated with the breakup of golden invariant tori

1. 

Department of Mathematics, The University of Texas at Austin, Austin, TX 78712

Received  February 2003 Revised  April 2004 Published  September 2004

We give a computer-assisted proof for the existence of a renormalization group fixed point (Hamiltonian) with non-trivial scaling, associated with the breakup of invariant tori with rotation number equal to the golden mean.
Citation: Hans Koch. A renormalization group fixed point associated with the breakup of golden invariant tori. Discrete and Continuous Dynamical Systems, 2004, 11 (4) : 881-909. doi: 10.3934/dcds.2004.11.881
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