Geodesic
Global bifurcations on a Klein bottle. The general case
Sbornik. Mathematics, Tome 196 (2005) no. 4, pp. 465-483

Voir la notice de l'article provenant de la source Math-Net.Ru

A one-parameter family of smooth vector fields in a space of a high dimension is considered such that for some critical parameter value the corresponding field has a saddle-node cycle (a periodic orbit). The case when the union of the cycle and its homoclinic orbits form a smooth Klein bottle is discussed. The problem consists in the description of the behaviour of the orbit set under the variation of the parameter. 
@article{SM_2005_196_4_a0,
     author = {A. R. Borisyuk},
     title = {Global bifurcations on a {Klein} bottle. {The} general case},
     journal = {Sbornik. Mathematics},
     pages = {465--483},
     publisher = {mathdoc},
     volume = {196},
     number = {4},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2005_196_4_a0/}
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A. R. Borisyuk. Global bifurcations on a Klein bottle. The general case. Sbornik. Mathematics, Tome 196 (2005) no. 4, pp. 465-483. http://geodesic.mathdoc.fr/item/SM_2005_196_4_a0/