06-200 K. Fuchss, A. Wurm, P.J. Morrison

On a new fixed point of the renormalization group operator for area-preserving maps (176K, RevTex with 5 PS figures) Jul 12, 06

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Abstract. The breakup of the shearless invariant torus with winding number $\omega=\sqrt{2}-1$ is studied numerically using Greene's residue criterion in the standard nontwist map. The residue behavior and parameter scaling at the breakup suggests the existence of a new fixed point of the renormalization group operator (RGO) for area-preserving maps. The unstable eigenvalues of the RGO at this fixed point and the critical scaling exponents of the torus at breakup are computed.

Files: 06-200.src( 06-200.keywords , NewFixedPoint2.tex , buabdiff.eps , bubdiffnn.eps , bunn-pozoom1.eps , bunn-pozoom2.eps , buresnn1alldown.eps )