Strange attractors in fluid dynamics

  • John Guckenheimer
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 179)


Rayleigh Number Strange Attractor Random Perturbation Large Aspect Ratio Critical Rayleigh Number 
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  1. 1.
    A. Arneodo, P. Coullet, E.A. Spiegel and C. Tresser, Bifurcations and Chaos, preprint (1981).Google Scholar
  2. 2.
    F.H. Busse, Transition to Turbulence in Rayleigh-Benard Convection in Hydrodynamic Instabilities and the Transition to Turbulence, ed. H.L. Swinney and J.P. Gollub, Springer-Verlag (1981).Google Scholar
  3. 3.
    A.J. Chorin, Estimates of Intermittency, Spectra, and Blow-up in Developed Turbulence, Comm. Pure Appl. Math. 34, 853–866 (1981).Google Scholar
  4. 4.
    J.P. Eckmann, Roads to Turbulence in Dissipative Dynamical Systems, Rev. Mod. Phys. 53, 643–654 (1981).CrossRefGoogle Scholar
  5. 5.
    M.J. Feigenbaum, Quantitative universality for a class of nonlinear transformations, J. Stat. Phys. 19, 25–52 (1978).CrossRefGoogle Scholar
  6. 6.
    H.S. Greenside, G. Ahlers, P.C. Hohenbeg, and R.W. Walden, A simple stochastic model for the onset of turbulence in RayleighBenard convection, preprint (1981).Google Scholar
  7. 7.
    J. Gollub and H. Swinney, Onset of Turbulence in a Rotating Fluid, Physical Review Letters 35, 927–930 (1975).Google Scholar
  8. 8.
    J.P. Gollub and S.V. Benson, Many routes to turbulent convection, J. Fluid Mech. 100, 449–470. (1982).Google Scholar
  9. 9.
    J.P. Gollub, A.R. McCarriar, and J.F. Steinman, Convective Pattern Evolution and Secondary Instabilities, J. Fluid Mech., to appear.Google Scholar
  10. 10.
    J. Guckenheimer, Patterns of Bifurcation, New Approaches to Nonlinear Problems in Dynamics, SIAM (1980).Google Scholar
  11. 11.
    J. Guckenheimer, Noise in Chaotic Systems, Nature 298, 358–361 (1982).Google Scholar
  12. 12.
    A. Libchaber and J. Maurer, A Rayleigh-Benard experiment: helium in a small box, Geilo NATO School, April (1981).Google Scholar
  13. 13.
    D. Ruelle, Ergodic Theory of Differentiable Dynamical Systems, Publ. I.H.E.S. 50, 27–58 (1979).Google Scholar
  14. 14.
    D. Ruelle and F. Takens, On the nature of turbulence, Comm. Math. Phys. 20, 167–192 (1971).CrossRefGoogle Scholar
  15. 15.
    F. Takens, Detecting strange attractors in turbulence, Dynamical Systems and Turbulence, Warwick 1980, ed. D.A. Rand and L.S. Young, Springer Lecture Notes in Mathematics 898, 366–381 (1981).Google Scholar

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • John Guckenheimer
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaSanta Cruz

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