On the characterization of chaotic motions

  • Itamar Procaccia
  • Peter Grassberger
  • H. G. E. Hentschel
Seminars and Communications
Part of the Lecture Notes in Physics book series (LNP, volume 179)


Fractal Dimension Lyapunov Exponent Chaotic Motion Fractal Nature Strange Attractor 
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. 1.
    P. Grassberger and I. Procaccia, submitted to Phys.Rev.Lett.Google Scholar
  2. 2.
    P. Grassberger and I. Procaccia, submitted to Physica D.Google Scholar
  3. 3.
    H.G.E. Hentschel and I. Procaccia, Phys.Rev.Lett. in press.Google Scholar
  4. 4.
    H.G.E. Hentschel and I. Procaccia, Phys.Rev.A, in press.Google Scholar
  5. 5.
    D.A. Russel, J.D. Hanson and E. Ott, Phys.Rev.Lett. 45, 1175 (1980).Google Scholar
  6. 6.
    P. Grassberger, J.Stat.Phys. 26, 173 (1981).Google Scholar
  7. 7.
    H.S. Greenside, A. Wolf, J. Swift and T. Pignataro, Phys.Rev.A 25, 3453 (1982).Google Scholar
  8. 8.
    M.I. Rabinovich and A.L. Fabrikant, Sov.Phys.JETP 50, 311 (1979)Google Scholar
  9. 9.
    B.B. Mandelbrot in Fractals-Form Chance and Dimension, Freeman, San Francisco (1977).Google Scholar
  10. 10.
    J.D. Farmer, Physica 4D, 366 (1982).Google Scholar
  11. 11.
    H. Froehling, J.P. Crutchfield, D. Farmer, N.H. Packard and R. Shaw, Physica 30, 605 (1981).Google Scholar
  12. 12.
    M.C. Mackey and L. Glass, Science 197, 287 (1977).PubMedGoogle Scholar
  13. 13.
    J.L. Kaplan and J.A. Yorke in Functional Differential Equations and Approximations of Fixed Points, p. 204; ed. by H.O. Peitgen and H. O. Walther, Lecture Notes in Math. 730, Springer Verlag (1979).Google Scholar
  14. 14.
    A.S. Monin and A.M. Yaglom in Statistical Fluid Mechanics, M.I.T. Press, Cambridge (1975).Google Scholar
  15. 15.
    U. Frisch, P.L. Sulem and M. Nelkin, J.Fluid.Mech. 87, 719 (1978).Google Scholar
  16. 16.
    H. Mori and H. Fujisaka in Systems Far From Equilibrium, ed. L. Garrido, Springer Verlag, Berlin (1980).Google Scholar
  17. 17.
    M. Nelkin, Phys.Fluids 24, 556 (1981).Google Scholar
  18. 18.
    R.A. Antonia, N. Phan Thien and B.R. Satyaparakash, Phys.Fluids 24, 554 (1981).Google Scholar
  19. 19.
    L.F. Richardson, Proc.Roy.Soc.A 110, 709 (1926).Google Scholar
  20. 20.
    G.T. Csanady in Turbulent Diffusion in the Environment, Reidel, Dodrecht, Holland (1973).Google Scholar
  21. 21.
    H.G.E. Hentschel, I. Procaccia and N. Rozenberg, preprint.Google Scholar

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • Itamar Procaccia
    • 1
  • Peter Grassberger
    • 1
  • H. G. E. Hentschel
    • 1
  1. 1.Department of Chemical PhysicsThe Weizmann Institute of ScienceRehovotIsrael

Personalised recommendations