Non-holonomic geodesic flows on Lie groups and the integrable Suslov problem on SO(4)

Journal of Physics A: Mathematical and General

Volumn 31, Issue 5, 1998, Pages 1415-1422

  Jovanović, Božidar ^a  

^a MATHEMATICAL INSTITUTE   (Serbia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032488747     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/31/5/011     Document Type: Article

References (20)

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2. Nejmark Yu I and Fufaev N A 1967 Dynamics of Nonholonomic Systems (Moskva: Nauka) p 520 (in Russian) (Engl. transl. 1972 Transl. Math. Monogr. Am. Math. Soc. 33 IX 518)
3. Arnol'd V I 1978 Mathematical Methods of Classical Mechanics (Berlin: Springer) p 462
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8. Veselov A P and Veselova L E 1986 Flows on Lie groups with nonholonomic constraint and integrable nonhamltonian systems Funkt. Anal. Prilozh. 20 65-6 (in Russian) (Engl. transl. 1986 Funct. Anal. Appl. 20)
9. Bloch A M, Krishnaprasad J E, Marsden J E and Murray R M 1996 Nonholonomic mechanical systems with symmetry Arch. Rational Mech. Anal. 136 21-99
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11. Kozlov V V 1988 Invariant measures of the Euler-Poincaré equations on Lie algrebras Funkt. Anal. Prilozh. 22 89-70 (in Russian) (Engl. transl. 1988 Funct. Anal. Appl. 22)
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13. Suslov G K 1946 Theoretical Mechanics (Moskva: Gostehizda) (in Russian)
14. Dragović V, Gajić B and Jovanović B 1997 Generalizations of Classical Integrable Nonholonomic Rigid Body Systems submitted
15. 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)
16. Manakov S V 1976 Remarks on the integrals of the Euler's equations of the n-dimensional heavy top Funkts. Anal. Prilozh. 10 93-4 (in Russian) (Engl. transl.: 1976 Funct. Anal. Appl. 10)
17. Manakov S V 1976 Remarks on the integrals of the Euler's equations of the n-dimensional heavy top Funkts. Anal. Prilozh. 10 93-4 (in Russian) (Engl. transl.: 1976 Funct. Anal. Appl. 10)
18. Adler M and van Moerbeke P 1982 The algebraic integrability of geodesic flow on SO(0) Invent. Math. 67 297-331
19. Veselov A P 1983 On conditions of integrability of Euler's equations on SO(4) Dokl. Akad. Nauk. SSSR. 270 1094-7 (in Russian) (Engl. transl. 1983 Sov. Math. Dokl.)
20. Veselov A P 1983 On conditions of integrability of Euler's equations on SO(4) Dokl. Akad. Nauk. SSSR. 270 1094-7 (in Russian) (Engl. transl. 1983 Sov. Math. Dokl.)