Skip to main content

Evidence for Chaotic Dynamics in the Outer Solar Plasma and the Earth Magnetosphere

  • Chapter

Part of the book series: NATO ASI Series ((NSSB,volume 298))

Abstract

In this paper we present a new approach of space plasmas dynamics based on methods of chaos theory which are applied to the time series sunspot index, solar wind temperature and B-field, as well as to plasma sheet B-field and AE index measurements of the earth magnetosphere. Moreover we develope an interesting set of criteria against the colored noise pseudo-chaos. Finally we provide evidence for the existence of chaotic attractor dynamics for the outer solar plasma (including solar wind) and for the earth magnetospheric system with fractal dimensions ~4.5 and ~3.5 respectively.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Prigogine, I., From Being to Becoming Time and Complexity in the physical science, W.H. Freeman and Company (1979).

    Google Scholar 

  2. Pavlos, G.P., Magnetospheric dynamics, Proc. Symposium on Solar and Space Physics, National Observatory of Athens, Greece (1988).

    Google Scholar 

  3. Parker, E.N., Dynamics of the interplanetary gas and magnetic fields, Astrophys. J. 128: 664 (1958).

    Article  Google Scholar 

  4. Weiss, N.O., In Accretion discs and magnetic fields in Astrophysics, G. Belvedere, ed., Kluwer, Dordrecht (1989).

    Google Scholar 

  5. Weiss, N.O., Periodicity and aperiodicity in solar magnetic activity Phil. Trans. R. Soc. Lond. A 330: 617 (1990).

    Google Scholar 

  6. Baker, D.N., Klimas, A.J., McPherron, R.L., and Buchner J., The evolution from weak to strong geomagnetic activity: an interpretation in terms of deterministic chaos, Geophys. Res. Lett. 17: 41 (1990).

    Article  Google Scholar 

  7. Vassiliadis, D.V., Sharma, A.S., Eastman, T.E., and Papadopoulos, K., Low-dimensional chaos in magnetospheric activity from AE time series, Geophys. Res. lett. 17: 841 (1990).

    Article  Google Scholar 

  8. Pavlos, G.P., Kyriakou, Rigas, A.G., Liatsis, P.J., Trochoutsos, P.C., and Tsonis, A.A., Evidence for strange attractor structure in space plasmas, accepted for publication to Ann. Geophys. (1991).

    Google Scholar 

  9. Burlaga, L.F., Multifractal structure of the interplanetary magnetic field, Geophys. Res. Lett. 18: 69 (1991).

    Article  Google Scholar 

  10. Takens, F., Detecting strange attractors in turbulence, Lecture notes in Mathematics, Vol.898, pp.366–381, Springer Verlag, Berlin (1981).

    Google Scholar 

  11. Grassberger P., and I. Procaccia, Measuring the strengness of strange attractors, Physica D 9: 189 (1983).

    Article  MathSciNet  MATH  Google Scholar 

  12. Wolf, A., Swift, J.B., Swinney, H.L., and Vastano J., Determining Lyapunov exponents from time series, Physica D 16: 285 (1985).

    Article  MathSciNet  MATH  Google Scholar 

  13. Smith, A., Intrinsic limits on dimensional calculations, Phys. Lett. A 133: 283 (1988).

    Google Scholar 

  14. Nerenberg, M.A., and Essex C. Correlation dimension and systematic geometric effect, Phys.Review A 42: 7065 (1990).

    MathSciNet  Google Scholar 

  15. Osborne, A.R., and Provenzale, A., Finite correlation dimension for stochastic systems with power-law spectra, Physica D 35: 357 (1989).

    Article  MathSciNet  MATH  Google Scholar 

  16. Isliker H., and Kurths, J., On the interpretation of correlation dimensions found in Astronomical time series, Private communication at Institute fur Astronomie, ETH Zentrum CH-8092 Zurich Switzerland.

    Google Scholar 

  17. Haken, H., Information and self organization, a macroscopic approach to complex systems, Springer series in Synergetic, Berlin Heidelberg (1988).

    MATH  Google Scholar 

  18. Whitney, H., Differentiable Manifolds, Ann. Math. 37: 645 (1936).

    Article  MathSciNet  Google Scholar 

  19. Lorenz, E.N., Deterministic Nonperioddoc flow, Journal of the Atm. Scien. 20: 130 (1963).

    Article  Google Scholar 

  20. Stix, M., The Sun, Astronomy and Astrophysics Library, Springer-Verlag, Berlin Heidelberg (1989).

    Google Scholar 

  21. Pavlos G.P., Rigas A.G., Karakatsanis L.P., Kyriakou G.A., and Dialetis D., Experimental and theoretical aspects of the solar and magnetospheric chaotic activity, Submitted to Solar Physics.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer Science+Business Media New York

About this chapter

Cite this chapter

Pavlos, G.P., Rigas, A.G., Dialetis, D., Sarris, E.T., Karakatsanis, L.P., Tsonis, A.A. (1992). Evidence for Chaotic Dynamics in the Outer Solar Plasma and the Earth Magnetosphere. In: Bountis, T. (eds) Chaotic Dynamics. NATO ASI Series, vol 298. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3464-8_30

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-3464-8_30

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6534-1

  • Online ISBN: 978-1-4615-3464-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics