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math-ph2019
The Rigid Body Dynamics in an ideal fluid: Clebsch Top and Kummer surfaces
Jean-Pierre Francoise, Daisuke Tarama
This is an expository presentation of a completely integrable Hamiltonian system of Clebsch top under a special condition introduced by Weber. After a brief account on the geometri…
math-ph2013
Analytic Extension of the Birkhoff Normal Forms for the Free Rigid Body Dynamics on SO(3)
Jean-Pierre Francoise, Daisuke Tarama
Birkhoff normal form is a power series expansion associated with the local behavior of the Hamiltonian systems near a critical point. It is known to be convergent for integrable sy…