Skip to main content
Log in

Strong attraction and classification of certain continuous flows

  • Published:
Mathematical systems theory Aims and scope Submit manuscript

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. S. Ahmad, Dynamical systems of characteristic O+,Pacific J. Math. 32 (1970), 561–574.

    Google Scholar 

  2. J. Auslander, Generalized recurrence in dynamical systems,Contributions to Differential Equations 3 (1964), 65–74.

    Google Scholar 

  3. J. Auslander andP. Seibert, Prolongations and stability in dynamical systems,Ann. Inst. Fourier (Grenoble)14 (2) (1964), 237–268.

    Google Scholar 

  4. N. P. Bhatia,Non-saddle sets in dynamical systems, Technical Note BN-602, University of Maryland, 1969 (also to appear inJ. Differential Equations 8 (1970)).

  5. N. P. Bhatia,Characteristic properties of stable sets and attractors in dynamical systems, Tech. Note BN-637, University of Maryland, 1970.

  6. N. P. Bhatia andO. Hájek,Theory of dynamical systems, Technical Note BN-606, University of Maryland, 1969.

  7. O. Hájek,Dynamical Systems in the Plane, Academic Press, London and New York, 1968.

    Google Scholar 

  8. V. V. Nemytskii andV. V. Stepanov,Qualitative Theory of Differential Equations, Princeton Univ. Press, Princeton, N.J., 1960.

    Google Scholar 

  9. Tosiya Saito, On a compact invariant set isolated from minimal sets,Funkcial. Ekvac. 12 (1969), 193–203.

    Google Scholar 

  10. Tosiya Saito, Isolated minimal sets,Funkcial. Ekvac. 11 (1968), 155–167.

    Google Scholar 

  11. T. Ura, Sur le courant extérieur à une région invariante. Prolongement d'une caracteristique et l'ordre de stabilité,Funkcial. Ekvac. 2 (1959), 143–200.

    Google Scholar 

  12. T. Ura, On the flow outside a closed invariant set; stability, relative stability and saddle sets,Contributions to Differential Equations 3 (1964), 249–294.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The author acknowledges partial support by the Oklahoma State University Research Center.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ahmad, S. Strong attraction and classification of certain continuous flows. Math. Systems Theory 5, 157–163 (1971). https://doi.org/10.1007/BF01702872

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01702872

Keywords

Navigation