Multiscale Approach and Scalings

  • Oleg G. Bakunin
Part of the Springer Series in Synergetics book series (SSSYN)


Hurst Exponent Fractal Dimensionality Multiscale Approach Transverse Scale Characteristic Spatial Scale 
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Further Reading

Fractal Landscape

  1. Feder, J. (1988). Fractals. Plenum Press, New York.zbMATHGoogle Scholar
  2. Gouyet, J.-F. (1996). Physics and Fractal Structure. Springer-Verlag, Berlin.Google Scholar
  3. Mandelbrot, B.B. (1982). The Fractal Geometry of Nature. W.H. Freeman, San Francisco.zbMATHGoogle Scholar
  4. Stauffer, D. (1979). Physics Reports, 2, 3.Google Scholar
  5. Stauffer, D. (1985). Introduction to Percolation Theory. Taylor and Francis, London.zbMATHCrossRefGoogle Scholar

Multiscale Approach and Structures

  1. Bohr, T., Jensen, M.H., Giovanni, P., and Vulpiani, A. (2003). Dynamical Systems Approach to Turbulence. Cambridge University Press, Cambridge, U.K.Google Scholar
  2. Frisch, U. (1995). Turbulence: The Legacy of A. N. Kolmogorov. Cambridge University Press, Cambridge, U.K.zbMATHGoogle Scholar
  3. Kuramoto, Y. (1984). Chemical Oscillations, Waves and Turbulence. Springer-Verlag, Berlin.zbMATHGoogle Scholar
  4. Manneville, P. (2004). Instabilities, Chaos and Turbulence. An Introduction to Nonlinear Dynamics and Complex Systems. Imperial College Press, London.zbMATHGoogle Scholar
  5. Mikhailov, A. (1995). Introduction to Synergetics, Part 2. Springer-Verlag, Berlin.Google Scholar
  6. Pismen, L.M. (2006), Patterns and Interfaces in Dissipative Dynamics. Springer-Verlag, Berlin.zbMATHGoogle Scholar

Turbulence and Magnetic Fields

  1. Balescu, R. (1997). Statistical Dynamics. Imperial College Press, London.zbMATHGoogle Scholar
  2. Balescu, R. (2005). Aspects of Anomalous Transport in Plasmas. IOP Bristol and Philadelphia.CrossRefGoogle Scholar
  3. Falgarone, E. and Passot, T., eds. (2003). Turbulence and Magnetic Fields in Astrophysics. Springer-Verlag, Berlin.Google Scholar
  4. Horton, W. and Ichikawa, Y.-H. (1994). Chaos and Structures in Nonlinear Plasmas. World Scientific, Singapore.Google Scholar
  5. Isichenko, M.B. (1992). Reviews of Modern Physics, 64, 961.CrossRefADSMathSciNetGoogle Scholar
  6. Kadomtsev, B.B. (1991). Tokamak Plasma: A Complex System. IOP, Bristol.Google Scholar
  7. Krommes, J.A. (2002). Physics Reports, 360, 1–352.CrossRefADSGoogle Scholar
  8. Rosenbluth, M.N. and Sagdeev, R.Z., eds. (1984). Handbook of Plasma Physics. North-Holland, Amsterdam.Google Scholar
  9. Wesson, J.A. (1987). Tokamaks. Oxford University Press, Oxford.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Oleg G. Bakunin
    • 1
  1. 1.Kurchatov Institute Nuclear Fusion InstituteRussia

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