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Improved KAM estimates for the Siegel radius

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Abstract

For the Siegel center problem we explore the possibility of improving the KAM estimates, with a view to possible extensions to Hamiltonian systems. The use of a suitable norm and explicit perturbative computations allow estimates to within a factor 2 of the Siegel radius for the quadratic map.

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Authors and Affiliations

  1. Department of Mathematics, Rutgers University, New Brunswick, New Jersey

    C. Liverani

  2. Dipartimento di Fisica, Universita di Bologna, Italy

    G. Turchetti

  3. Istituto Nazionale di Fisica Nucleare, Sezione di Bologna, Bologna, Italy

    G. Turchetti

Authors
  1. C. Liverani
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  2. G. Turchetti
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Liverani, C., Turchetti, G. Improved KAM estimates for the Siegel radius. J Stat Phys 45, 1071–1086 (1986). https://doi.org/10.1007/BF01020589

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  • DOI: https://doi.org/10.1007/BF01020589

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