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Attractors and repellers near generic elliptic points of reversible maps

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References

  1. M. B. Sevryuk, Reversible Systems, Lect. Notes Math. (Springer-Verlag, Berlin, 1986), Vol. 1211.

    MATH  Google Scholar 

  2. S. V. Gonchenko, D. V. Turaev, and L. P. Shil’nikov, Proc. Steklov Inst. Math. 216, 70–118 (1997).

    MathSciNet  Google Scholar 

  3. S. V. Gonchenko, L. P. Shilnikov, and O. V. Stenkin, Proceedings of International Conference on Progress in Nonlinear Science (Nizhni Novgorod, 2002), Vol. 1, pp. 80–102.

    Google Scholar 

  4. S. E. Newhouse, Publ. Math. Inst. Hautes Etudes Sci. 50, 101–151 (1979).

    Article  MATH  MathSciNet  Google Scholar 

  5. L. P. Shil’nikov, Mat. Sb. 74(116), 378–397 (1967).

    MathSciNet  Google Scholar 

  6. S. V. Gonchenko, L. P. Shilnikov, and D. Turaev, Phys. D 62(1–4), 1–14 (1993).

    MATH  MathSciNet  Google Scholar 

  7. S. V. Gonchenko, D. V. Turaev, and L. P. Shil’nikov, J. Math. Sci. 105(1), 1738–1778 (New York) (2001).

    Article  Google Scholar 

  8. S. V. Gonchenko, L. P. Shilnikov, and D. Turaev, Nonlinearity 20, 241–275 (2007).

    Article  MATH  MathSciNet  Google Scholar 

  9. J. S. W. Lamb and O. V. Stenkin, Nonlinearity 17, 1217–1244 (2004).

    Article  MATH  MathSciNet  Google Scholar 

  10. A. Delshams, S. V. Gonchenko, V. S. Gonchenko, J. T. Lázaro, and O. Stenkin, Nonlinearity 26, 1–33 (2013).

    Article  MATH  Google Scholar 

  11. S. E. Newhouse, Topology 13, 9–18 (1974).

    Article  MATH  MathSciNet  Google Scholar 

  12. E. Zehnder, Commun. Pure Appl. Math. 26, 131–182 (1973).

    Article  MATH  MathSciNet  Google Scholar 

  13. L. Mora and N. Romero, Ann. Fact. Sci. Toulouse 6, 711–725 (1997).

    Article  MATH  MathSciNet  Google Scholar 

  14. V. Gelfreich and D. Turaev, Regular Chaotic Dyn. 15(2–3), 159–164 (2010).

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Institute for Applied Mathematics and Cybernetics, Nizhni Novgorod University, Nizhni Novgorod, Russia

    S. V. Gonchenko

  2. Mathematics Department, Imperial College, London, UK

    J. S. W. Lamb & D. Turaev

  3. Instituto de Matenmática e Estatística, Universidade Federal Fluminense, Niterói, Brazil

    I. Rios

Authors
  1. S. V. Gonchenko
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  2. J. S. W. Lamb
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  3. I. Rios
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  4. D. Turaev
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Corresponding author

Correspondence to S. V. Gonchenko.

Additional information

Original Russian Text © S.V. Gonchenko, J.S.W. Lamb, I. Rios, D. Turaev, 2014, published in Doklady Akademii Nauk, 2014, Vol. 454, No. 4, pp. 375–378.

The article was translated by the authors.

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Gonchenko, S.V., Lamb, J.S.W., Rios, I. et al. Attractors and repellers near generic elliptic points of reversible maps. Dokl. Math. 89, 65–67 (2014). https://doi.org/10.1134/S1064562414010207

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  • DOI: https://doi.org/10.1134/S1064562414010207

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