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

Hans Koch

doi:10.3934/dcds.2004.11.881

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2004, Volume 11, Issue 4: 881-909. Doi: 10.3934/dcds.2004.11.881

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

Hans Koch^1,

1.
Department of Mathematics, The University of Texas at Austin, Austin, TX 78712

Received: February 2003

Revised: April 2004

Published: October 2004

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Abstract

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.

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Mathematics Subject Classification: 37J25, 37E20.

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