Dynamical systems with few degrees of freedom

  • P. Collet
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 173)


Lyapunov Exponent Rayleigh Number Hopf Bifurcation Stable Period Lorenz System 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [Ar]
    V. Arnold. Chapitres supplémentaires de la théorie des equations differentielles. Editions MIR, Moscou, 1980.Google Scholar
  2. [Bo]
    R. Bowen. Equilibrium states and the ergodic theory of Anosov diffeomorphisms. Lecture notes in Mathematics, VoL.470, Springer Verlag, Berlin, Heidelberg, New York, 1975.Google Scholar
  3. [C.E.1]
    P. Collet, J.P. Eckmann. Comm. Math. Phys. 73, 115 (1981).Google Scholar
  4. [C.E.2]
    P. Collet, J.P. Eckmann. Iterated maps on the interval as dynamical systems. Birkhaüser, Basel, Boston, 1980.Google Scholar
  5. [C. E. K.]
    P.Collet, J.P. Eckmann, H. Koch. Physica 30, 457 (1981).Google Scholar
  6. [C.E.T.]
    P. Collet, J.P. Eckmann, L. Thomas. Commun. Math. Phys. 81, 261 (1981).Google Scholar
  7. [C.F.H.]
    J.P. Crutchfield, J.D. Farmer, B.A. Huberman. Preprint, University of Santa Cruz, 1980.Google Scholar
  8. [Ch]
    A. Chenciner. In Proceedings of Les Houches Summer School 1981. R.H. Helleman and G. Iooss editors. To appear.Google Scholar
  9. [C.T.]
    P. Coullet, C. Tressere. Comptes Rendus Acad. Sciences 287, 577 (1978).Google Scholar
  10. [D. H.]
    Douady, Hubbard. To appear.Google Scholar
  11. [Ec ]
    J.P. Eckmann. Rev. Mod. Phys. 53, 643 (1981).Google Scholar
  12. [Fe]
    M. Feigenbaum. J. Stat.Phys. 19, 25 (1978); 21, 669 (1979).Google Scholar
  13. [Fe1]
    [Go] J. Gollub. In Proceedings of Les Houches Summer School 1981.Google Scholar
  14. [Go] a
    R.H. Helleman and G. Iooss editors. To appear.Google Scholar
  15. [Go1] a
    [Gu] Guckenheimer. Preprint, University of Santa Cruz 1981.Google Scholar
  16. [He]
    M. Henon. Commun. Math. Phys. 50, 69 (1976).Google Scholar
  17. [Ja]
    M.V. Jakobson. Commun. Math. Phys. 81, 39 (1981).Google Scholar
  18. [La]
    O.E. Lanford. In statistical Mechanics and Dynamical Systems. D. Ruelle editor. Duke university, Durham, 1977.Google Scholar
  19. [Li]
    A. Libchaber. In Proceedings of Les Houches Summer School 1981.Google Scholar
  20. [Li]
    R.H. Helleman and G. Iooss editors. To appear.Google Scholar
  21. [Lo.1]
    E.H. Lorenz. J. Atm. Sciences 20, 130 (1963).Google Scholar
  22. [Lo.2]
    E.H. Lorenz. In global analysis. M.Ormela and J. Marsden editors. Lecture Notes in Mathematics Vol. 755. Springer-Verlag, Berlin, Heidelberg, New York, 1979.Google Scholar
  23. [Ma]
    B.B. Mandelbrot. In Nonlinear Dynamics. R.G. Helleman editor. Annals of the New York Academy of Sciences. Vol. 357 (1980).Google Scholar
  24. [MP]
    J. Mallet-Paret. J. Diff. Equ. 22, 331 (1976).Google Scholar
  25. [Ne]
    S.E. Newhouse. Publ.Math.I.H.E.S. 50, 101 (1979).Google Scholar
  26. [P.M.]
    Y. Pomeau, P. Manneville. Physica 01, 219, (1980).Google Scholar
  27. [R.T.]
    D. Ruelle, F. Takens. Commun. Math. Phys. 20, 167 (1971).Google Scholar
  28. [R.T.N.]
    D. Ruelle, F. Takens, S. Newhouse. Commun. Math. Phys. 64, 35 (1978).Google Scholar
  29. [Ru.1]
    D. Ruelle. Statistical Mechanics and dynamical systems. Duke University, Durham, 1977.Google Scholar
  30. [Ru.2]
    D. Ruelle. Ann. New York Acad. Sci. 316, 408 (1978).Google Scholar
  31. [Ru.3]
    D. Ruelle. Commun. Math. Phys. 82, 137 (1981).Google Scholar
  32. [T.F.]
    T. Temam, C. Foias. J. Math. Pures et Appl. 58, 339 (1979).Google Scholar

Copyright information

© Springer Verlag 1982

Authors and Affiliations

  • P. Collet
    • 1
  1. 1.Centre de Physique Théorique de l'Ecole PolytechniquePalaiseau - CedexFrance

Personalised recommendations