Generalizations of classical integrable nonholonomic rigid body systems

Journal of Physics A: Mathematical and General

Volumn 31, Issue 49, 1998, Pages 9861-9869

  Dragović, Vladimir ^a   Gajić, Borislav ^a   Jovanović, Božidar ^a  

^a MATHEMATICAL INSTITUTE   (Serbia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039164057     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/31/49/010     Document Type: Article

References (15)

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2. Suslov G K 1946 Theoretical Mechanics (Moskow: Gostekhteorizdat) (in Russian)
3. Chaplygin S A 1976 On rolling of a ball on a horizontal plane Collected Papers (Moscow: Nauka) pp 409-28 (in Russian)
4. Chaplygin S A On rolling of a heavy rotational body on a horizontal plane Collected Papers (Moscow: Nauka) pp 363-75 (in Russian)
5. 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)
6. Dragovic V 1996 On integrable perturbations of the Jacobi problem for the geodesics on the ellipsoid J. Phys. A: Math. Gen. 29 L317-21
7. Dragovic V 1998 On integrable potentials of billiard within ellipse Prikl. Mat. Mekh. 62 (in Russian)
8. Jovanovic B 1997 Integrable perturbation of billiards on constant curvature surfaces Phys. Lett. A 231 353-8
9. Dragovic V and Jovanovic B 1997 On integrable potential perturbations of billiard system within ellipsoid J. Math. Phys. 38
10. Kozlov V V 1995 Some integrable generalizations of the Jacobi problem for the geodesics on the ellipsoid Prikl. Mat. Mekh. 59 3-9 (in Russian)
11. Fedorov Yu N and Kozlov V V 1995 Various aspects of n-dimensional rigid body dynamics Am. Math. Soc. Transl. Ser. 2 168 141-71
12. Jovanovic B 1998 Non-holonomic geodesic flows on Lie groups and the integrable Suslov problem on S O (4) J. Phys. A: Math. Gen. 31 1415-22
13. Kozlov V V 1985 About integration theory of nonholonomic mechanics Usp. Mekh. 8 85-106 (in Russian)
14. Kharlamova-Zabelina E I 1957 Rapid rotation of a rigid body about a fixed point under the presence of a nonholonomic constraint Vestnik Moskov Ser. Mat. Mekh. 12 25-34 (in Russian)
15. n Izv. Akad. Nauk SSSR Ser. Math. 49 899-915 (in Russian)