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Local isomorphisms and local parallelizability in dynamical systems theory

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References

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

    Google Scholar 

  2. N. P. Bhatia, Criteria for dispersive flows,Math. Nachr. 32 (1966), 89–93.

    Google Scholar 

  3. J. Dugundji andH. A. Antosiewicz, Parallelizable flows and Liapunov's second method,Ann. of Math. (2)73 (1961), 543–555.

    Google Scholar 

  4. W. H. Gottschalk andG. A. Hedlund,Topological Dynamics, Amer. Math. Soc. Colloq. Publ., No. 36, Providence, 1955.

  5. O. Hájek, Structure of dynamical systems,Comment. Math. Univ. Carolinae 6 (1965), 53–72.

    Google Scholar 

  6. O. Hájek, Categorial concepts in dynamical system theory,Proc. Topological Dynamics Symposium, Fort Collins, Colorado, W. A. Benjamin, 1968.

    Google Scholar 

  7. O. Hájek andN. P. Bhatia,Theory of Dynamical Systems (to appear).

  8. V. V. Nemycki, Topological problems of the theory of dynamical systems,Uspehi Math. Nauk (N.S.)4, No. 6 (34) (1949), 91–153; English Translation, Amer. Math. Soc. Translation No. 103 (1954), 1–85.

    Google Scholar 

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

    Google Scholar 

  10. T. Ura, Sur le courant extérieur à une région invariante, Prolongements d'une caractéristique et l'ordre de stabilité,Funkc. Ekvac. 2 (1959), 143–200.

    Google Scholar 

  11. 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 

  12. T. Ura,Lecture Notes on Dynamical Systems (unpublished), 1966–67.

  13. T. Ura andI. Kimura, Sur le courant extérieur à une région invariante, Théorème de Bendixson,Comment. Math. Univ. St. Paul 7 (1960), 23–29.

    Google Scholar 

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Authors and Affiliations

  1. Case Western Reserve University, USA

    Taro Ura

  2. Kobe University, Japan

    Taro Ura

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  1. Taro Ura
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Additional information

This work was partly supported by the National Science Foundation under Grant No. NSF-GP-7447.

This paper contains proofs and more detailed discussions and explanations of the results published in the Proceeding of the Topological Dynamics Symposium at Fort Collins, Colorado, 1967. Some corrections of mistakes are made.

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Ura, T. Local isomorphisms and local parallelizability in dynamical systems theory. Math. Systems Theory 3, 1–16 (1969). https://doi.org/10.1007/BF01695623

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