Absolute and relative choreographies in rigid body dynamics

DOI10.1134/S1560354708030064zbMath1229.70009OpenAlexW1980997241MaRDI QIDQ652958

Alexander A. Kilin, Alexey V. Borisov, Ivan. S. Mamaev

Publication date: 6 January 2012

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354708030064

zbMATH Keywords

periodic solutionsbifurcationrigid-body dynamicscontinuation by a parameter

Mathematics Subject Classification ID

Free motion of a rigid body (70E15)

Related Items (3)

Chaos in a restricted problem of rotation of a rigid body with a fixed point ⋮ Gyrostat model regular and chaotic behavior ⋮ Andoyer's variables and phases in the free rigid body

Cites Work

• The general case of Lyapunov's periodic motions of a heavy solid body with a single fixed point
• Periodic and conditionally periodic solutions in the problem of motion of a heavy solid about a fixed point
• Euler-Poisson equations and integrable cases
• Periodische und asymptotische Bewegungen des unsymmetrischen schweren Kreisels
• The General Problem of the Motion of Coupled Rigid Bodies about a Fixed Point
• A remarkable periodic solution of the three-body problem in the case of equal masses
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