Bäcklund transformation for the BC-type Toda lattice.
Bäcklund transformations for the Kirchhoff top.
Bäcklund transformations for the trigonometric Gaudin magnet.
Behavior of forced asymmetric oscillators at resonance.
Beitrag zur kinematischen Synthese bei gegebener Polkonfiguration
Bifurcation diagrams and Fomenko’s surgery on Liouville tori of the Kolossoff potential
Bifurcation d'orbites périodiques d'un système hamiltonien au voisinage d'une position d'équilibre
Bifurcations de points fixes elliptiques - III. Orbites périodiques de «petites» périodes et élimination résonnante des couples de courbes invariantes
Bi-Hamiltonian structure as a shadow of non-Noether symmetry.
Birkhoff periodic orbits for small perturbations of completely integrable Hamiltonian Systems with convex Hamiltonians.
Blow up of mechanical systems with a homogeneous energy.
By using the ideas introduced by McGehee in the study of the singularities in some problems of Celestial Mechanics, we study the singularities at the origin and at the infinity for some classical mechanical systems with homogeneous kinetic and potential energy functions. For these systems the origin and the infinity of the configuration coordinates is usually a singularity or a nullity of the Hamiltonian function and the verctor field. This work generalizes a previous one by the first and the third...
Bosons in Rapid Rotation: From the Quantum Many-Body Problem to Effective Equations
One of the most interesting phenomena exhibited by ultracold quantum gases is the appearance of vortices when the gas is put in rotation. The talk will bring a survey of some recent progress in understanding this phenomenon starting from the many-body ground state of a Bose gas with short range interactions. Mathematically this amounts to describing solutions of a linear Schrödinger equation with a very large number of variables in terms of a nonlinear equation with few variables and analyzing the...
Breaking the symmetry of a circular system of coupled harmonic oscillators.