RAS PresidiumДоклады Российской академии наук. Математика, информатика, процессы управления Doklady Mathematics

  • ISSN (Print) 2686-9543
  • ISSN (Online) 3034-5049

CONSTRUCTION OF SMOOTH “SOURCE-SINK” ARCS IN THE SPACE OF DIFFEOMORPHISMS OF A TWO-DIMENSIONAL SPHERE

PII
10.31857/S2686954324050081-1
DOI
10.31857/S2686954324050081
Publication type
Article
Status
Published
Authors
Volume/ Edition
Volume 519 / Issue number 1
Pages
39-45
Abstract
It is well known that the mapping class group of the two-dimensional sphere
Keywords
диффеоморфизм “источник-сток” гладкая дуга устойчивая дуга
Date of publication
15.04.2024
Year of publication
2024
Number of purchasers
0
Views
26

References

  1. 1. Munkres J. Differentiable isotopies on the 2sphere // Michigan Mathematical Journal. 1960. V. 7. № 3. P. 193–197.
  2. 2. Palis J., Pugh C. Fifty problems in dynamical systems // Dynamical Systems—Warwick 1974: Proceedings of a Symposium Held at the University of Warwick 1973/74. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. P. 345–353.
  3. 3. Newhouse S., Palis J., Takens F. Stable arcs of diffeomorphisms // Bull. Amer. Math. Soc. 1976. V. 82. № 3. P. 499–502.
  4. 4. Medvedev T. V., Nozdrinova E., Pochinka O. Components of Stable Isotopy Connectedness of Morse ”— Smale Diffeomorphisms // Regular and Chaotic Dynamics. 2022. V. 27. № 1. P. 77–97.
  5. 5. Grines V. Z., Medvedev T. V., Pochinka O. V. Dynamical systems on 2-and 3-manifolds // Cham: Springer. 2016. V. 46.
  6. 6. Bonatti C., Grines V. Z., Medvedev V. S., Pochinka O. V. Bifurcations of Morse-Smale diffeomorphisms with wildly embedded separatrices // Proceedings of the Steklov Institute of Mathematics. 2007. V. 256. P. 47–61.
  7. 7. Милнор Дж. Теорема об ℎ-кобордизме. 1969.
  8. 8. Banyaga A. On the structure of the group of equivariant diffeomorphisms // Topology. 1977. V. 16. № 3. P. 279–283.
  9. 9. Rolfsen D. Knots and links // American Mathematical Soc., 2003. P. 346.
  10. 10. Lickorish W. B. R. Homeomorphisms of nonorientable two-manifolds // Mathematical Proceedings of the Cambridge Philosophical Society. Cambridge University Press, 1963. V. 59. № 2. P. 307–317.
  11. 11. Косневски Ч. Начальный курс алгебраической топологии // М.: Изд-во Мир. 1983. Т. 304.
  12. 12. Hirsch M. W. Differential topology // Springer Science Business Media, 2012. V. 33.
  13. 13. Franks J. Necessary conditions for stability of diffeomorphisms // Transactions of the American Mathematical Society. 1971. V. 158. № 2. P. 301–308.
  14. 14. Gourmelon N. A Franks’ lemma that preserves invariant manifolds // Ergodic Theory and Dynamical Systems. 2016. V. 36. № 4. P. 1167–1203
  15. 15. Палис Ж., Ди Мелу В. Геометрическая теория динамических систем. 1986.
QR
Translate

Индексирование

Scopus

Scopus

Scopus

Crossref

Scopus

Higher Attestation Commission

At the Ministry of Education and Science of the Russian Federation

Scopus

Scientific Electronic Library