Global bifurcations on a Klein bottle. The general case

Sbornik Mathematics

Volumn 196, Issue 3-4, 2005, Pages 465-483

  Borisyuk, A R ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22544432530     PISSN: 10645616     EISSN: 14684802     Source Type: Journal    
DOI: 10.1070/SM2005v196n04ABEH000888     Document Type: Article

References (12)

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2. V. S. Afraǐmovich and L. P. Shil'nikov, "On some global bifurcations connected with the disappearance of a fixed point of saddle-node type", Dokl. Akad. Nauk SSSR 219 (1974), 1281-1285;
3. English transl. in Soviet Math. Dokl. 15 (1974).
4. V. I. Arnol'd, V. S. Afraǐmovich, Yu. S. Il'yashenko, and L. P. Shil'nikov, "Bifurcation theory", Itogi Nauki i Tekhniki: Sovrem. Probl. Mat. Fund. Naprav., vol. 5, VINITI, Moscow 1986, pp. 5-218;
5. English transl. in Encyclopaedia Math. Sci., vol. 5 [Dynamical Systems V], Springer-Verlag, Berlin 1994.
6. V. W. Hirsch, C. C. Pugh, and M. Shub, Invariant manifolds, Springer-Verlag, New York 1977.
7. N. Fenichel, "Persistence and smoothness of invariant manifolds for flows", Indiana Univ. Math. J. 21 (1971), 193-226.
8. V. S. Medvedev, "On a new type of bifurcations on manifolds", Mat. Sb. 113 (155):3 (1980), 487-492;
9. English transl. in Math. USSR-Sb. 41 (1982).
10. A. R. Borisyuk, "Global bifurcations on the Klein bottle. The unimodal case", Mat. Zametki 71:3 (2002), 348-363;
11. English transl. in Math. Notes 71 (2002).
12. V. I. Arnol'd, S. M. Guseǐn-Zade, and A. N. Varchenko, Singularities of differentiate maps. Vol. 1, Nauka, Moscow 1982; English transl., Birkhäuser, Boston 1985.