The Hess-Appelrot system. I. Invariant torus and its normal hyperbolicity

DOI10.3934/jgm.2012.4.443zbMath1264.05074OpenAlexW2326727252MaRDI QIDQ1951054

Henryk Żołądek, Paweł Lubowiecki

Publication date: 28 May 2013

Published in: Journal of Geometric Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jgm.2012.4.443

zbMATH Keywords

normal hyperbolicityEuler-Poisson systeminvariant torusHess-Appelrot system

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Determinants, permanents, traces, other special matrix functions (15A15) Paths and cycles (05C38) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (11)

On the general solution of the problem of the motion of a heavy rigid body in the Hess case ⋮ Some recent generalizations of the classical rigid body systems ⋮ The Hess-Appelrot system. III: Splitting of separatrices and chaos ⋮ The Hess-Appelrot case and quantization of the rotation number ⋮ Asymptotic invariant surfaces for non-autonomous pendulum-type systems ⋮ Perturbations of the Hess-Appelrot and the Lagrange cases in the rigid body dynamics ⋮ Melnikov functions in the rigid body dynamics ⋮ On the Dynamics of a Rigid Body in the Hess Case at High-Frequency Vibrations of a Suspension Point ⋮ The Hess-Appelrot system and its nonholonomic analogs ⋮ Painlevé equations, elliptic integrals and elementary functions ⋮ Partial linear integrals of the Poincaré-Zhukovskiĭ equations (the general case)

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