Chaos in a restricted problem of rotation of a rigid body with a fixed point

DOI10.1134/S1560354708030076zbMath1229.70011OpenAlexW2061533778MaRDI QIDQ652959

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

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/s1560354708030076

zbMATH Keywords

bifurcationsphase portraitmechanism of chaotizationmotion of a rigid body

Mathematics Subject Classification ID

Motion of a rigid body with a fixed point (70E17)

Related Items (3)

Test rigid bodies in Riemannian spaces and their quantization ⋮ Chaos in a soda can: non-periodic rocking of upright cylinders with sensitive dependence on initial conditions ⋮ Vibrational Stability of Periodic Solutions of the Liouville Equations

Cites Work

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• Absolute and relative choreographies in rigid body dynamics
• Universal behaviour in families of area-preserving maps
• Chaotic transport in dynamical systems
• Symmetry and bifurcation of fixed points of area preserving maps
• Invariant curves of analytic perturbed nontwist area preserving maps
• Central stable/unstable manifolds and the destruction of KAM tori in the planar Hill problem
• Kovalevskaya exponents and Poisson structures
• The “restricted” formulation of the problem of the motion of a heavy rigid body

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