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Symplectic twist maps without conjugate points

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Abstract

For sequences of symplectic twist maps without conjugate points, an invariant Lagrangian subbundle is constructed. This allows one to deduce that absence of conjugate points is a rare property in some classes of maps.

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Authors and Affiliations

  1. School of Mathematical Sciences, Tel Aviv University, 69978, Tel Aviv, Israel

    M. L. Bialy

  2. Mathematics Institute, University of Warwick, CV4 7AL, Coventry, UK

    R. S. MacKay

Authors
  1. M. L. Bialy
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  2. R. S. MacKay
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Correspondence to M. L. Bialy.

Additional information

This work was partially supported by EPSRC grant GR/M11349.

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Bialy, M.L., MacKay, R.S. Symplectic twist maps without conjugate points. Isr. J. Math. 141, 235–247 (2004). https://doi.org/10.1007/BF02772221

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  • DOI: https://doi.org/10.1007/BF02772221

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