Skip to main content

Inhibition of Chaotic Behaviour in Coupled Models of Atmospheric Dynamics and Climate Evolution

  • Chapter
Chaotic Dynamics

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

Abstract

The difficulty of carrying out long-term predictions of atmospheric dynamics and the evolution of climate is a problem of obvious concern. Nowadays there is increasing awareness that deterministic chaos might provide a natural prototype for complexity of atmospheric and climatic dynamics.

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

Access this chapter

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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Y. Ueda, Steady motions exhibited by Duffing’s equation; a picture book of regular and chaotic motions, in: “New Approaches to Nonlinear Problems in Mechanics”, P J Holmes ed., 311–322, SIAM, Philadelphia (1980).

    Google Scholar 

  2. P.J. Holmes, A nonlinear oscillator with a strange attractor, Phil Trans R. Soc Lond A 292: 419 (1979).

    Article  Google Scholar 

  3. T. Kapitaniak, Chaotic Oscillations in Mechanical Systems, Manchester University Press, Manchester (1991).

    MATH  Google Scholar 

  4. J. P. McCreary and D.L. Anderson, An overview of coupled ocean-atmosphere models of El Nino and the southern oscillation, J Geophys Res. 96 Supp, 3125 (1991).

    Article  Google Scholar 

  5. H. Le Treut and M. Ghil, Orbital forcings, climatic interaction and glaciation cycles, J Geophys Res. 88:5167 (1983).

    Article  Google Scholar 

  6. A. Wiin-Nielsen, On simple climatic models with periodic and stochastic forcing, Geophys, Astrophys, Fluid Dyn 28:1 (1984).

    Article  Google Scholar 

  7. B. Saltzman, A. Sutera and A. Evenson, Structural stochastic stability of a simple auto-oscillatory climate feedback system, J Atmos Sci 38: 484 (1981).

    Article  Google Scholar 

  8. G.K. Vallis, Conceptual models of El Nino and the southern oscillation J Geophys Res 93:13979 (1988).

    Article  Google Scholar 

  9. C. Nicolis, Self oscillations and predictability in climate dynamics-periodic forcing and phase locking, Tellus 36A:217 (1984).

    Google Scholar 

  10. C. Nicolis, Long-term climatic variability and chaotic dynamics, Tellus 40A:50 (1987).

    Google Scholar 

  11. T. Kapitaniak, Chaos in Systems with Noise, World Scientific, Singapore (1990).

    Book  MATH  Google Scholar 

  12. K.M. Weickmann, El Nino/Southern oscillation and Madden-Julian (30—60 Day) oscillations during 1981-82, J Geophys Res. 96 Supp 3187 (1991).

    Article  Google Scholar 

  13. A. Barcilon, J. Brindley and X-S. Chen X-S, A conceptual coupled ocean-atmosphere model, in preparation (1991).

    Google Scholar 

  14. J. Brindley and T. Kapitaniak, Analytic predictors for strange non-chaotic attractors, Phys Lett A155:161 (1991).

    Article  MathSciNet  Google Scholar 

  15. J. Brindley, T. Kapitaniak and M.S. El Naschie, Analytical conditions for strange chaotic and nonchaotic attractors of the quasiperiodically forced van der Pol equation, Physica D, in press (1991).

    Google Scholar 

  16. J. Imbrie and K.P. Imbrie, Ice Ages: Solving the mystery. Enslow Publ., Short Hills, N.J (1979).

    Google Scholar 

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

    MathSciNet  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

Brindley, J., Kapitaniak, T. (1992). Inhibition of Chaotic Behaviour in Coupled Models of Atmospheric Dynamics and Climate Evolution. In: Bountis, T. (eds) Chaotic Dynamics. NATO ASI Series, vol 298. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3464-8_29

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-3464-8_29

  • 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