The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms

Sheldon E. Newhouse

Publications Mathématiques de l'IHÉS (1979)

  • Volume: 50, page 101-151
  • ISSN: 0073-8301

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Newhouse, Sheldon E.. "The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms." Publications Mathématiques de l'IHÉS 50 (1979): 101-151. <http://eudml.org/doc/103959>.

@article{Newhouse1979,
author = {Newhouse, Sheldon E.},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {wild hyperbolic set; omega-stable diffeomorphisms of a compact manifold; open sets in the complement of the omega-stable diffeomorphisms; persistent tangency between stable and unstable manifolds; isotopies of Morse-Smale diffeomorphisms},
language = {eng},
pages = {101-151},
publisher = {Institut des Hautes Études Scientifiques},
title = {The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms},
url = {http://eudml.org/doc/103959},
volume = {50},
year = {1979},
}

TY - JOUR
AU - Newhouse, Sheldon E.
TI - The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
JO - Publications Mathématiques de l'IHÉS
PY - 1979
PB - Institut des Hautes Études Scientifiques
VL - 50
SP - 101
EP - 151
LA - eng
KW - wild hyperbolic set; omega-stable diffeomorphisms of a compact manifold; open sets in the complement of the omega-stable diffeomorphisms; persistent tangency between stable and unstable manifolds; isotopies of Morse-Smale diffeomorphisms
UR - http://eudml.org/doc/103959
ER -

References

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Citations in EuDML Documents

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  1. Lluis Alsedà, Antonio Falcó, Devil's staircase route to chaos in a forced relaxation oscillator
  2. Pedro Duarte, Plenty of elliptic islands for the standard family of area preserving maps
  3. Eduardo Colli, Infinitely many coexisting strange attractors
  4. Carlos Gustavo T. de A. Moreira, Stable intersections of Cantor sets and homoclinic bifurcations
  5. Lorenzo J. Díaz, Raúl Ures, Persistent homoclinic tangencies and the unfolding of cycles
  6. Christian Bonatti, Lorenzo Díaz, Connexions hétéroclines et généricité d'une infinité de puits et de sources
  7. Eleonora Catsigeras, Heber Enrich, Homoclinic tangencies near cascades of period doubling bifurcations
  8. Christian Bonatti, Lorenzo J. Díaz, On maximal transitive sets of generic diffeomorphisms
  9. Bladismir Leal, High dimension diffeomorphisms exhibiting infinitely many strange attractors
  10. Enrique R. Pujals, Martin Sambarino, Density of hyperbolicity and tangencies in sectional dissipative regions

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