- 98-261 Juan J. Abad, Hans Koch, Peter Wittwer
- A Renormalization Group for Hamiltonians: Numerical Results
(673K, plain TeX with embedded PS figures)
Apr 8, 98
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Abstract. We describe a renormalization group transformation
that is related to the breakup of golden invariant tori
in Hamiltonian systems with two degrees of freedom.
This transformation applies to a large class of Hamiltonians,
is conceptually simple, and allows for accurate numerical computations.
In a numerical implementation, we find a nontrivial fixed point
and determine the corresponding critical index and scaling.
Our computed values for various universal constants
are in good agreement with existing data for area--preserving maps.
We also discuss the flow associated with the nontrivial fixed point.