4 papers
Stability analysis for the pseudo-Riemannian geodesic flows of step-two nilpotent Lie groups
Genki Ishikawa, Daisuke Tarama
The present paper deals with the stability analysis for the geodesic flow of a step-two nilpotent Lie group equipped with a left-invariant pseudo-Riemannian metric. The Lie-Poisson…
Complete integrability of subriemannian geodesic flows on
Wolfram Bauer, Abdellah Laaroussi, Daisuke Tarama
Four subriemannian (SR) structures over the Euclidean sphere are considered in accordance to the previous literature. The defining bracket generating distribution is…
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…
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…