Rolling of a ball on a surface. New integrals and hierarchy of dynamics

Regular and Chaotic Dynamics

Volumn 7, Issue 2, 2002, Pages 201-219

  Borisov, A V ^a   Mamaev, I S ^b   Kilin, A A ^b  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

^b UDMURT STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0010179079     PISSN: 15603547     EISSN: 14684845     Source Type: Journal    
DOI: 10.1070/RD2002v007n02ABEH000205     Document Type: Review

References (12)

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3. A. V. Borisov, I. S. Mamayev. Poisson Structures and Lia Algebras in Hamiltonian Mechanics. Izhevsk: RCD. 1999. P. 464.
4. A. V. Borisov, I. S. Mamaev. Rigid Body Dynamics. Izhevsk: RCD. 2001. P. 384.
5. A. V. Borisov, I. S. Mamaev. Rigid Body Rolling on a Plane and a Sphere. Dynamical Hierarchy. Reg & Chaot. Dyn. 2002 (in print).
6. Yu. P. Bychkov. On Rolling Rigid Body on a Stationary Surface. PMM. 1965. V. 29. No3. P. 573-583.
7. V. V. Kozlov. Qualitative Analysis Methods in Rigid Body Dynamics. Izhevsk: RCD. 2000.
8. S. N. Kolesnikov. Some Mechanics' Problems on Rolling of Rigid Bodies. Candidate Thesis. Moscow, Lomonosov's MSU. 1988. P. 88.
9. Yu. I. Neumark, N. A. Fufayev. Nonholonomic System Dynamics. M.: Nauka. 1967. P. 519.
10. E. Routh. Dynamics of a System of Rigid Bodies. Dover Publications, New York.
11. F. Noeter. Über rollende Bewegung einer Kugel auf Rotationsfläche. Leipzig, Teubner. 1909. 56 S.
12. J. Hermans. A symmetric ball rolling on a surface. Nonlinearity. 1995. V. 8(4). P. 493-515.