Nonholonomic left and right flows on Lie groups

Journal of Physics A: Mathematical and General

Volumn 32, Issue 47, 1999, Pages 8293-8302

  Jovanović, Božidar ^a  

^a MATHEMATICAL INSTITUTE   (Serbia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033607385     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/32/47/308     Document Type: Article

References (22)

1. Arnol'd V I, Kozlov V V and Neishtadt A I 1987 Mathematical aspects of classical and celestial mechanics Dynamical Systems vol III (Berlin: Springer)
2. Bogoyavlenski O I 1984 Integrable Euler's equations on Lie algebras, connected with problems in mathematical physics Izv. Acad Nauk SSSR Ser. Math. 48 883-938 (in Russian)
3. Bloch A M, Krishnaprasad J E, Marsden J E and Murray R M 1996 Nonholonomic mechanical systems with symmetry Arch. Ration. Mech. Anal. 136 21-99
4. Chaplygin S A 1976 On Rolling of a Ball on a Horizontal Plane. Collected Papers (Moscow: Nauka) pp 409-28 (in Russian)
5. Dragović V, Gajić B and Jovanović B 1998 Generalizations of classical integrable nonholonomic rigid body systems J. Phys. A: Math. Gen. 31 9861-9
6. Fedorov Yu N 1989 Two integrable nonholonomic systems in classical dynamics Vestn. Mosk. Univ. I 105 38-41 (in Russian) 1989 Moskow Univ. Math. Bull. (Engl. transl.)
7. Fedorov Yu N 1989 Two integrable nonholonomic systems in classical dynamics Vestn. Mosk. Univ. I 105 38-41 (in Russian) 1989 Moskow Univ. Math. Bull. (Engl. transl.)
8. Fedorov Yu N and Kozlov V V 1995 Various aspects of n-dimensional rigid body dynamics Trans. Am. Math. Soc. Ser. 2 168 141-71
9. Jovanović B 1998 Non-holonomic geodesic flows on Lie groups and the integrable Suslov problem on SO (4) J. Phys. A: Math. Gen. 31 1415-22
10. Kozlov V V 1988 Invariant measures of the Euler-Poincaré equations on Lie algebras Funkt. Anal. Prilozh. 22 69-70 (in Russian) 1988 Funct. Anal. Appl. 22 (Engl. transl.)
11. Kozlov V V 1988 Invariant measures of the Euler-Poincaré equations on Lie algebras Funkt. Anal. Prilozh. 22 69-70 (in Russian) 1988 Funct. Anal. Appl. 22 (Engl. transl.)
12. Manakov S V 1976 Remarks on the integrals of the Euler equations of the n-dimensional heavy top Funkt. Anal. Prilozh. 10 93-94 (in Russian) Funct. Anal. Appl. 10 (Engl. transl.)
13. Manakov S V 1976 Remarks on the integrals of the Euler equations of the n-dimensional heavy top Funkt. Anal. Prilozh. 10 93-94 (in Russian) Funct. Anal. Appl. 10 (Engl. transl.)
14. Neimark Yu I and Fufaev N A 1967 Dynamic of the nonholonomic systems (Moscow: Nauka) (in Russian) 1972 Translations of mathematical monographs Am. Math. Soc. 33 (Engl. transl.)
15. Neimark Yu I and Fufaev N A 1967 Dynamic of the nonholonomic systems (Moscow: Nauka) (in Russian) 1972 Translations of mathematical monographs Am. Math. Soc. 33 (Engl. transl.)
16. Ratiu T 1980 The motion of the free n-dimensional rigid body Indiana Univ. Math. J. 29 609-29
17. Ratiu T 1982 Euler-Poisson equations on Lie algebras and the n-dimensional heavy rigid body Am. J. Math. 104 409-48
18. Vershik A M and Gershkovich V Ya 1994 Nonholonomic dynamical systems, geometry of distributions and variational problems Dynamical Systems vol VII, ed V Arnol'd and S P Novikov (Berlin: Springer)
19. Veselov A P and Veselova L E 1986 Flows on Lie groups with nonholonomic constraint and integrable nonHamiltonian systems Funkt. Anal. Prilozh. 20 65-6 (in Russian) 1986 Funct. Anal. Appl. 20 (Engl. transl.)
20. Veselov A P and Veselova L E 1986 Flows on Lie groups with nonholonomic constraint and integrable nonHamiltonian systems Funkt. Anal. Prilozh. 20 65-6 (in Russian) 1986 Funct. Anal. Appl. 20 (Engl. transl.)
21. Veselov A P and Veselova L E 1988 Integrable nonholonomic systems on Lie groups Mat. Zametki 44 604-19 (in Russian) 1988 Math. Notes 44 (Engl. transl.)
22. Veselov A P and Veselova L E 1988 Integrable nonholonomic systems on Lie groups Mat. Zametki 44 604-19 (in Russian) 1988 Math. Notes 44 (Engl. transl.)