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Further scaling properties for circle maps

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Abstract

It is shown that certain iterations of (k−1)tuples of commuting invertible circle maps whose rotation numbers are algebraic of degree k, show very similar scaling properties to those found by Feigenbaum et al. in the case k=2.

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References

  1. FeigenbaumM., KadanoffL., and ShenkerS., Physica 5D, 370–386 (1982).

    Google Scholar 

  2. ShenkerS., Physica 5D, 405–411 (1982).

    Google Scholar 

  3. OstlundS., RandD., SethnaJ., and SiggiaE., Physica 8D, 303–342 (1983).

    Google Scholar 

  4. PerronO., Math. Ann. 64, 1–76 (1907).

    Google Scholar 

  5. YoccozJ., in J.Palis (ed.), Geometric Dynamics, Lecture Notes in Math., vol. 1007, Springer-Verlag, Berlin, 1983.

    Google Scholar 

  6. KopellN., in S.Chern and S.Smale (eds.), Global Analysis, Proc. Symp. Pure Math. XIV, Am. Math. Soc., Providence, RI, 1970.

    Google Scholar 

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  1. Institut für Theoretische Physik, E, RWTH Aachen, D-51, Aachen, F.R.G.

    Dieter H. Mayer

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  1. Dieter H. Mayer
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Mayer, D.H. Further scaling properties for circle maps. Lett Math Phys 8, 435–438 (1984). https://doi.org/10.1007/BF00418119

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  • DOI: https://doi.org/10.1007/BF00418119

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