Skip to main content

Prolongations in topological dynamics

Part of the Lecture Notes in Mathematics book series (LNM,volume 144)

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • 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. J. Auslander and P. Seibert, Prolongations and stability in dynamical systems, Ann. Inst. Fourier, XIV (1964) 237–267.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. J. Auslander, N. P. Bhatia and P. Seibert, Attractors in dynamical systems, Bol. Soc. Mat. Mexicana (1964) 55–66.

    Google Scholar 

  3. P. N. Bajaj, Some aspects of semi-dynamical systems theory, Thesis, Case Western Reserve University, 1968.

    Google Scholar 

  4. N. P. Bhatia, Weak attractors in dynamical systems, Bol. Soc. Mat. Mexicana (1966) 56–64.

    Google Scholar 

  5. N. P. Bhatia and O. Hajek, Local semi-dynamical systems, Lecture Notes in Mathematics 90, Springer Verlag, Berlin, 1969.

    MATH  Google Scholar 

  6. N. P. Bhatia and O. Hajek, Theory of dynamical systems (to appear).

    Google Scholar 

  7. D. H. Carlson, Extensions of dynamical systems via prolongations, Thesis, Case Western Reserve University, 1969.

    Google Scholar 

  8. J. Dugundji and H. A. Antosiewicz, Parallelizable flows and Lyapunov's second method, Ann. of Math. 73 (1961) 543–555.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. R. Ellis and W. H. Gottschalk, Homomorphisms of transformation groups, Trans. Amer. Math. Soc., 94 (1960) 258–271.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. H. Furstenberg, Disjointness in ergodic theory, etc., Math. Systems Theory, 1 (1966) 1–49.

    CrossRef  MathSciNet  Google Scholar 

  11. W. H. Gottschalk and G. A. Hedlund, Topological Dynamics, Amer. Math. Soc. Coll. Publ. 36, Providence, 1955.

    Google Scholar 

  12. O. Hajek, Lecture notes (unpublished), Case Western Reserve University, 1967–68.

    Google Scholar 

  13. _____, Dynamical systems in the plane, Academic Press, New York-London, 1969.

    Google Scholar 

  14. _____, Topological ergodicity (to appear).

    Google Scholar 

  15. M. Katetov, On continuity structures and spaces of mappings, Comment. Math. Univ. Carol., 6 (1965) 257–278.

    MathSciNet  MATH  Google Scholar 

  16. S. Lefschetz, Differential equations: geometric theory, Interscience, New York-London, 1957.

    MATH  Google Scholar 

  17. L. Markus, Parallel dynamical systems, Topology 8 (1969) 47–57.

    CrossRef  MathSciNet  MATH  Google Scholar 

  18. V. V. Nemyckii, Topological problems of the theory of dynamical systems (from Uspehi Mat. Nauk 4 (34) (1949) 91–153), Amer. Math. Soc. Translations 103.

    MathSciNet  Google Scholar 

  19. V. V. Nemyckii and V. V. Stepanov, Qualitative theory of differential equations (in Russian, 2nd ed.), Gostechizdat, Moscow-Leningrad, 1949.

    Google Scholar 

  20. D. Simanaitis, Generalized limit sets, Thesis, Case Western Reserve University, 1969.

    Google Scholar 

  21. T. Ura, Sur les courbes definies par les equations differentielles, etc., Ann. Sci. Ecole Norm. Sup. 70 (1953) 287–360.

    MathSciNet  MATH  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1970 Springer-Verlag

About this paper

Cite this paper

Hajek, O. (1970). Prolongations in topological dynamics. In: Yorke, J.A. (eds) Seminar on Differential Equations and Dynamical Systems, II. Lecture Notes in Mathematics, vol 144. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0059924

Download citation

  • DOI: https://doi.org/10.1007/BFb0059924

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-04933-3

  • Online ISBN: 978-3-540-36306-4

  • eBook Packages: Springer Book Archive