Akustiche Turbulenz

  • W. Lauterborn
III. Instability and Turbulence
Part of the Lecture Notes in Physics book series (LNP, volume 235)


Strange Attractor Terminal Digital 
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  1. [1]
    D. Ruelle and F. Takens: On the nature of turbulence, Commun. math. Phys. 20 (1971) 167–192, 23 (1971) 343–344.Google Scholar
  2. [2]
    S. Newhouse, D. Ruelle and F. Takens: Occurrence of strange axion-A attractors near quasiperiodic flow on Tm, m ≽ 3, Commun. math. Phys. 64 (1978) 3540.Google Scholar
  3. [3]
    S. Grossmann and S. Thomae: Invariant distributions and stationary correlation functions of one-dimensional discrete processes, Z. Naturforsch. 32a (1977) 1353–1363.Google Scholar
  4. [4]
    M.J. Feigenbaum: Quantitative universality for a class of nonlinear transformations, J. Stat. Phys. 19 (1978) 25–52.Google Scholar
  5. [5]
    P. Coullet und J. Tresser: Itérations d'endomorphismes et groupe de renormalisation, J. Phys. (Paris), Colloque 49, C5 (1978) C5-25–C5-28.Google Scholar
  6. [6]
    P. Collet und J.P. Eckmann: Iterated maps of the interval as dynamical systems. Birkhäuser, Basel 1980.Google Scholar
  7. [7]
    G. Mayer-Kress und H. Haken: An explicit construction of a class of suspensions and autonomous differential equations for diffeomorphisms in the plane, Los Alamos Report LA-UR-84-2473.Google Scholar
  8. [8]
    P. Cvitanovié (ed.): Universality in chaos. A reprint selection, Adam Nilger, Bristol 1984.Google Scholar
  9. [9]
    Hao Bai-Lin: Chaos, World Scientific Publishing, Singapore 1984.Google Scholar
  10. [10]
    W. Lauterborn und E. Cramer: Subharmonic route to chaos observed in acoustics, Phys. Rev. Lett. 47 (1981) 1445–1448.Google Scholar
  11. [11]
    R. Esche: Untersuchung der Schwingungskavitation in Flüssigkeiten, Acustica 2 (1952) AB208–AB218.Google Scholar
  12. [12]
    J. Holzfuss und W. Lauterborn: Chaotische Attraktoren bei akustischer Kavitation, in: Fortschritte der Akustik, DAGA '85, Bad Honnef, DPG GmbH 1985, S. 711–714.Google Scholar
  13. [13]
    W. Lauterborn: Acoustic turbulence, in: Frontiers in Physical Acoustics, International School of Physics "Enrico Fermi", XCII Course, Varenna, Juli 1984, im Druck.Google Scholar
  14. [14]
    W. Lauterborn und E. Suchla: Bifurcation superstructure in a model of acoustic turbulence, Phys. Rev. Lett. 53 (1984) 2304–2307.Google Scholar
  15. [15]
    H.G. Schuster: Deterministic Chaos. An Introduction, Physik-Verlag, Weinheim 1984.Google Scholar
  16. [16]
    F. Takens: Detecting strange attractors in turbulence, in: Dynamical Systems and Turbulence, Warwick 1980, ed. D.A. Rand and L.-S. Young, Springer, Lecture Notes in Mathematics Vol. 898 (1981) 366–381.Google Scholar
  17. [17]
    N.H. Packard, J.P. Crutchfield, J.D. Farmer und R.S. Shaw: Geometry from a time series, Phys. Rev. Lett. 45 (1980) 712–716.Google Scholar
  18. [18]
    J.-C. Roux, R.H. Simoyi, H.L. Swinney: Observation of a strange attractor, Physica 8D (1983) 257–266.Google Scholar
  19. [19]
    P. Grassberger, I. Procaccia: Characterization of strange attractors, Phys. Rev. Lett. 50 (1983) 346–349.Google Scholar
  20. [20]
    A. Ben-Mizrachi, I. Procaccia und P. Grassberger: The characterization of experimental (noisy) strange attractors, Phys. Rev. 29A (1984) 975–977.Google Scholar
  21. [21]
    F. Hausdorff: Dimension und äußeres Maß, Math. Ann. 79 (1919) 157–179.Google Scholar
  22. [22]
    W. Lauterborn: Cavitation and coherent optics, in: Cavitation and Inhomogeneities in Underwater Acoustics, W. auterborn (ed.), Springer Series in Electrophysics Vol. 4, Berlin, Heidelberg, New York 1980, S. 3–12.Google Scholar

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© Springer-Verlag 1985

Authors and Affiliations

  • W. Lauterborn
    • 1
  1. 1.Drittes Physikalisches InstitutUniversität GöttingenGöttingenBundesrepublik Deutschland

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