Topology of energy surfaces and existence of transversal Poincaré sections

Journal of Physics A: Mathematical and General

Volumn 29, Issue 16, 1996, Pages 4977-4985

  Bolsinov, A ^a   Dullin, H R ^b   Wittek, A ^b  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

^b UNIVERSITY OF BREMEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21344447640     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/29/16/019     Document Type: Article

References (20)

1. Birkhoff G D 1922 Acta Math 43 1
2. Hotelling H 1925 Trans. Am. Math. Soc. 26 329
3. Hotelling H 1926 Trans. Am. Math. Soc. 27 479
4. Poincaré H 1892 Les Méthodes Nouvelles de la Mécanique Céleste (Paris: Gauthier-Villars),
5. translated by the AIP 1993 His. Mod. Phys. Astron. 13
6. Birkhoff G D 1917 Trans. Am. Math. Soc. 18 199
7. Smale S 1970 Inv. Math. 10, 11 305
8. Fomenko A T 1991 The Geometry of Hamiltonian Systems ed T Ratiu (New York: Springer) pp 131-339
9. Kharlamov M P 1983 Prikl. Matem. Mekhan. 47 737
10. Oshemkov A A 1991 Topological Classification of Integrable Systems ed A T Fomenko (Providence, RI: American Mathematical Society) pp 67-146
11. Bolsinov A V 1991 Topological Classification of Integrable Systems ed A T Fomenko (Providence, RI: American Mathematical Society) pp 147-183
12. Tatarinov Y V 1973 Vestnik. Mosk. Univ. Math.-Mech. 5
13. Iacob A 1971 Rev. Roum. Math. Pures et Appl. 16 1497
14. Dullin H R and Wittek A 1995 J. Phys. A: Math. Gen. 28 7157
15. Birkhoff G D 1927 Dynamical Systems (Providence, RI: American Mathematical Society)
16. Seifert H and Threlfall W 1980 A Textbook of Topology (New York: Academic)
17. Stöcker R and Zieschang H 1994 Algebraische Topologie (Stuttgart: Teubner)
18. Dubrovin B A, Fomenko A T and Novikov S P 1992 Modern Geometry - Methods and Applications, Part III. (Berlin: Springer)
19. Kozlov V V and Ten V V 1996 Matem. Sbornik (in Russian) to appear
20. Zieschang H, Vogt E and Coldewey H-D 1980 Surfaces and Planar Discontinuous Groups (Lecture Notes in Mathematics vol 835) (Berlin: Springer)