On a new fixed point of the renormalization group operator for area-preserving maps

K. Fuchss; A. Wurm; P. J. Morrison

doi:10.1016/j.physleta.2007.02.054

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On a new fixed point of the renormalization group operator for area-preserving maps

K. Fuchss·A. Wurm·P. J. Morrison

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Abstract

The breakup of the shearless invariant torus with winding number $ω=\sqrt{2}-1$ 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.

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K. Fuchss, A. Wurm, P. J. Morrison. 2006-07-12. On a new fixed point of the renormalization group operator for area-preserving maps. https://doi.org/10.1016/j.physleta.2007.02.054

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