Advertisement

On the dynamics of quasi-contractions

  • Jean-Marc Gambaudo
  • Charles Tresser
Article

Keywords

Periodic Orbit Unstable Manifold Homoclinic Orbit Stable Manifold Rotation Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [G]: J.M. Gambaudo: Ordre, désordre, et frontière des Systèmes Morse-Smale, Thèse d'Etat, Nice 1987.Google Scholar
  2. [G,G,T.1]: J.M. Gambaudo, P. Glendinning and C. Tresser: Collage de cycles et suites de Farey. CR. Acad. Sc. Paris299 série I, 711–714 (1984).zbMATHMathSciNetGoogle Scholar
  3. [G,G,T.2]: J.M. Gambaudo, P. Glendinning and C. Tresser: The gluing bifurcation: I. Symbolic dynamics of the closed curves. Nonlinearity1, 203–214 (1988).zbMATHCrossRefMathSciNetGoogle Scholar
  4. [G,T]: J.M. Gambaudo and C. Tresser: Dynamique régulière ou chaotique: applications du cercle ou de l'intervalle ayant une discontinuité. CR. Acad. Sc. Paris300 série I, 311–313 (1985).zbMATHMathSciNetGoogle Scholar
  5. [H]: P.J. Holmes: A strange family of three dimensional vector fields near a degenerate singularity. J. Diff. Equ.37, 382–403 (1980).zbMATHCrossRefGoogle Scholar
  6. [P,T,T]: I. Procaccia, S. Thomae and C. Tresser: First return maps as a unified renormalization scheme for dynamical systems. Phys. Rev. A35, 1884–1900 (1987).CrossRefMathSciNetGoogle Scholar
  7. [T.1]: C. Tresser: Modèles simples de transition vers la turbulence. CR. Acad. Sc. Paris296 série I, 729–732 (1983).zbMATHMathSciNetGoogle Scholar
  8. [T.2]: C. Tresser: About some theorems by L.P. Sil'nikov. Ann. Inst. Henri Poincaré, Physique Théorique.40, 441–461 (1984).zbMATHMathSciNetGoogle Scholar
  9. [T,S]: D.V. Turaev and L.P. Sil'nikov: On bifurcations of a homoclinic “figure eight” for a saddle with a negative saddle value. Dokl. Akad. Nauk SSSR290, 1301–1305 (1986). (English translation Soviet Math. Dokl.34, 397–401 (1987)).MathSciNetGoogle Scholar

Copyright information

© Sociedade Brasileira de Matemática 1988

Authors and Affiliations

  • Jean-Marc Gambaudo
    • 1
    • 2
  • Charles Tresser
    • 3
  1. 1.Departamento de Matemàticas y Ciencas de la Computacĩon, Facultad de Ciencas Fisicas, MatemáticasUniversìdad de ChileSantiagoChile
  2. 2.Laboratoire de MathématiquesNice CedexFrance
  3. 3.Math, Dept. University of Arizona Tucson AZ 85721U.S.A. e Physique ThéoriqueNice CedexFrance

Personalised recommendations