Skip to main content

Strange attractors and characteristic exponents of turbulent flows

  • Conference paper
  • First Online:
Approximation Methods for Navier-Stokes Problems

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 771))

  • 1111 Accesses

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 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
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. R. Bowen and D. Ruelle. The ergodic theory of Axiom A flows. Inventiones Math. 29, 181–202 (1975).

    Article  MathSciNet  MATH  Google Scholar 

  2. M. Hénon. A two-dimensional mapping with a strange attractor. Commun. math. Phys. 50, 69–77 (1976).

    Article  MathSciNet  MATH  Google Scholar 

  3. Ju. I. Kifer. On small random perturbations of some smooth dynamical systems. Izv. Akad. Nauk SSSR. Ser. Mat. 38 (5), 1091–1115 (1974). English translation Math. USSR Izv. 8, 1083–1107 (1974).

    MathSciNet  Google Scholar 

  4. E.N. Lorenz. Deterministic nonperiodic flow. J. atoms. Sci. 20, 130–141 (1963).

    Article  Google Scholar 

  5. V.I. Oseledec. A multiplicative ergodic theorem. Ljapunov characteristic numbers for dynamical systems. Trudy Moskov. Mat. Obšč. 19, 179–210 (1968). English translation Trans. Moscow Math. Soc. 19, 197–231 (1968).

    MathSciNet  Google Scholar 

  6. M.S. Raghunathan. A proof of Oseledec' multiplicative ergodic theorem. Israel J. Math. To appear.

    Google Scholar 

  7. D. Ruelle. A measure associated with Axiom A attractors. Amer. J. Math. 98, 619–654 (1976).

    Article  MathSciNet  MATH  Google Scholar 

  8. D. Ruelle. Sensitive dependence on initial condition and turbulence behavior of dynamical systems. Ann. N.Y. Acad. Sci. 316, 408–416 (1978).

    Article  MathSciNet  Google Scholar 

  9. D. Ruelle. Ergodic theory of differentiable dynamical systems. IHES. Publ. Math. To appear.

    Google Scholar 

  10. D. Ruelle. Microscopic fluctuations and turbulence. Phys. Lett. 72A, 81–82 (1979).

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Reimund Rautmann

Rights and permissions

Reprints and permissions

Copyright information

© 1980 Springer-Verlag

About this paper

Cite this paper

Ruelle, D. (1980). Strange attractors and characteristic exponents of turbulent flows. In: Rautmann, R. (eds) Approximation Methods for Navier-Stokes Problems. Lecture Notes in Mathematics, vol 771. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086925

Download citation

  • DOI: https://doi.org/10.1007/BFb0086925

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09734-1

  • Online ISBN: 978-3-540-38550-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics