Generic Diffeomorphisms with Superexponential Growth of Number of Periodic Orbits

@inproceedings{VADIM1999GenericDW,
  title={Generic Diffeomorphisms with Superexponential Growth of Number of Periodic Orbits},
  author={YU VADIM},
  year={1999}
}
  • YU VADIM
  • Published 1999
Let M be a smooth compact manifold of dimension at least 2 and Diff (M) be the space of C smooth diffeomorphisms of M . Associate to each diffeomorphism f ∈ Diff (M) the sequence Pn(f ) of the number of isolated periodic points for f of period n. In this paper we exhibit an open set N in the space of diffeomorphisms Diff (M) such for a Baire generic diffeomorphism f ∈ N the number of periodic points Pnf grows with a period n faster than any following sequence of numbers {an}n∈Z+ along a… CONTINUE READING
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Showing 1-10 of 25 references

Introduction to the modern theory of dynamical systems

  • B. HK Hasselblatt, A. Katok
  • Encyclopedia of Mathematics and its Applications,
  • 1995

Persistence of homoclinic tangencies in higher dimensions

  • N. Rm Romero
  • Ergodic Theory Dynam. Systems 15,
  • 1995

Abundance of strange attractors

  • L. MV Mora, M. Viana
  • Acta Math. 171,
  • 1993

On models with non-rough Poincaré homoclinic curves

  • S. V. GST Gonchenko, L. P. Shil’nikov, D. V. Tuvaev
  • Physica D 62,
  • 1993

Yakovenko , FinitelySmooth normal forms for local families of diffeomorphisms and vector fields

  • Yu. S. Ilyashenko, S. Yu.
  • Bull . Amer . Math . Soc .
  • 1993

Dynamics of the Henon map

  • M. BC Benedicks, L. Carleson
  • Annals of Math
  • 1991

Finitely - Smooth normal forms for local families of diffeomorphisms and vector fields

  • S. Yu., S. Yu Yakovenko
  • Russ . Math . Survey
  • 1991

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