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Melnikov functions in the rigid body dynamics. (English) Zbl 1447.37058

Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVII. Workshop and summer school, Białowieża, Poland, July 1–7, 2018. Dedicated to Daniel Sternheimer on the occasion of his 80th birthday. Cham: Birkhäuser. Trends Math., 75-82 (2019).
Summary: We review our recent results about perturbations of two cases in the rigid body dynamics: the Hess-Appelrot case and the Lagrange case.
For the entire collection see [Zbl 1433.53003].

MSC:

37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
70E15 Free motion of a rigid body
70E40 Integrable cases of motion in rigid body dynamics
70E17 Motion of a rigid body with a fixed point
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