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Asymptotic recurrence and dynamical flow near a compact minimal set

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

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References

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

    MathSciNet  MATH  Google Scholar 

  2. N. P. Bhatia, Weak Attractors in Dynamical Systems, Bol. Soc. Mat. Mexicana, 11(1966), 56–64.

    MathSciNet  Google Scholar 

  3. N. P. Bhatia, Attraction and Non-Saddle Sets in Dynamical Systems, to appear in J. Diff. Eq., (See Tech. Note BN-602, May 1969, IFDAM, U. of Maryland.)

    Google Scholar 

  4. N. P. Bhatia and O. Hajek, ‘Local Semi Dynamical Systems', Lecture Notes in Mathe-Matics No. 90, Springer Verlag, Berlin-Heidelberg-New York 1969.

    Book  MATH  Google Scholar 

  5. N. P. Bhatia and O. Hajek, ‘Theory of Dynamical Systems', Part IV, Technical Note BN 610, June 1969, IFDAM, University of Maryland.

    Google Scholar 

  6. N. P. Bhatia and G. P. Szegö, ‘Dynamical Systems: Stability Theory and Applications', Lecture Notes in Mathematics No. 35, Springer Verlag, Berlin-Heidelberg-New York, 1967.

    Book  MATH  Google Scholar 

  7. G. D. Birkhoff, ‘Dynamical Systems', AMS Colloquium Publication vol. IX, American Mathematical Society, Providence, Rhode Island, 1927.

    Book  MATH  Google Scholar 

  8. W. H. Gottschalk and G. A. Hedlund, ‘Topological Dynamics', AMS Colloquium Publications vol. 36, American Mathematical Society, Providence, Rhode Island, 1955.

    MATH  Google Scholar 

  9. I. Kimura and Taro Ura, Sur le courant exterieur a une region invariante; Théorème de Bendixson, Comment. Math. Univers. Sancti Pauli, 8(1960), 23–39.

    MathSciNet  MATH  Google Scholar 

  10. V. V. Nemytskii and V. V. Stepanov, ‘Qualitative Theory of Differential Equations', Princeton University Press, Princeton, New Jersey 1960 (Russian original appeared in 1947).

    MATH  Google Scholar 

  11. Tosiya Saito, On the Flow Outside an Isolated Minimal Set, Proceedings United States-Japan Seminar on Differential and Functional Equations, W. A. Benjamin, Inc., New York, Amsterdam, 1967.

    Google Scholar 

  12. Tosiya Saito, Isolated Minimal Sets, Functialaj Ekvacioj, 11(1968), 155–167.

    MathSciNet  MATH  Google Scholar 

  13. K. S. Sibirskii, Uniform Approximation of Points of Dynamical Limit Sets and Motions in Them, Doklady AN, 146(1962), 307–309.

    MathSciNet  Google Scholar 

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J. A. Yorke

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© 1970 Springer-Verlag

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Bhatia, N.P. (1970). Asymptotic recurrence and dynamical flow near a compact minimal set. 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/BFb0059916

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  • DOI: https://doi.org/10.1007/BFb0059916

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-04933-3

  • Online ISBN: 978-3-540-36306-4

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