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.

Files: 98-261.tex