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Dynamical Systems
An International Journal
Volume 37, 2022 - Issue 1
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Research Article

Invariant Cantor sets in the parametrized Hénon-Devaney map

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Pages 105-126 | Received 12 Sep 2020, Accepted 10 Nov 2021, Published online: 06 Feb 2022

References

  • R. Devaney, The baker transformation and a mapping associated to the restricted three-body problem, Commun. Math. Phys. 80(4) (1981), pp. 465–476.
  • M. Hénon, Generating Families in the Restricted Three-Body Problem II, Quantitative Study of Bifurcations, Lecture Notes in Physics, New Series m: Monographs, Vol. 65, Springer, Berlin, 2001.
  • B. Leal, G. Mata and S. Muñoz, Families of transitive maps on R with horizontal asymptotes, Rev. Unión Matemát. Argent. 59 (2018), pp. 375–387.
  • B. Leal and S. Muñoz, Hénon-Devaney like maps, Nonlinearity 34(5) (2021), pp. 2878–2896.
  • B. Leal and S. Muñoz, Global attractors in the parametrized Hénon-Devaney map, UMA Revista de la Unión Matemática Argentina, accepted for publication.
  • F. Lenarduzzi, Recoding the classical Hénon-Devaney map, Discrete Cont. Dyn. Syst. Ser. A 40(7) (2020), pp. 4073–4092.
  • S. Muñoz, Robust transitivity of maps of the real line, Discrete Cont. Dyn. Syst. Ser. A 35(3) (2015), pp. 1163–1177.

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