Global bifurcations on the Klein bottle. The unimodal case

Mathematical Notes

Volumn 71, Issue 3-4, 2002, Pages 316-329

  Borisyuk, A R ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

Bifurcation scenario; Homoclinic trajetory; Klein bottle; Morse function; Saddle node cycle; Unimodal function; Updown permutation

Indexed keywords

EID: 0141848554     PISSN: 00014346     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1014946223033     Document Type: Article

References (5)

1. Yu. S. Il'yashenko and Li Weigu, Nonlocal Bifurcations [in Russian] MCNMO CheRo, Moscow, 1999, English transl.: Mathematical Surveys and Monographs, vol. 66, Amer. Math. Soc., 1998.
2. Yu. S. Il'yashenko and Li Weigu, Nonlocal Bifurcations [in Russian] MCNMO CheRo, Moscow, 1999, English transl.: Mathematical Surveys and Monographs, vol. 66, Amer. Math. Soc., 1998.
3. V. S. Afraimovich and L. P. Shil'nikov, "On certain global bifurcations connected with the disappearance of a fixed saddle-node point," Dokl. Akad. Nauk. SSSR [Sovzet Math. Dokl.], 219 (1974), no. 3, 1281-1285.
4. V. I. Arnol'd, A. N. Varchenko, and S. M. Gusein-Zade, Singularities of Differentiable Mappings, I [in Russian], Nauka, Moscow, 1981. English transl. Birkhäuser, Boston, 1981.
5. V. I. Arnold, "Bernoulli-Euler updown numbers associated with function singularities, their combinatorics, and arithmetics," Duke Math. J., 63 (1991), no. 2, 537-555.