A geometric study of many-body systems.
À l'infini en temps fini
A singular lagrangian model for N-body relativistic interactions
About the sixth Hilbert's problem
Addendum to closed orbits of fixed energy for a class of N-body problems
An alternative proof of Painlevé's theorem
In this article we show some aspects of analytical and numerical solution of the -body problem, which arises from the classical Newtonian model for gravitation attraction. We prove the non-existence of stationary solutions and give an alternative proof for Painlevé’s theorem.
An energy conserving modification of numerical methods for the integration of equations of motion.
Asymptotic completeness in classical -body systems
Asymptotic completeness of -body systems
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...
Closed orbits of fixed energy for a class of N-body problems
Completely Integrable Hamiltonian Systems Connected with Semisimple Lie Algebras.
Composite control of the -link chained mechanical systems
In this paper, a new control concept for a class of underactuated mechanical system is introduced. Namely, the class of -link chains, composed of rigid links, non actuated at the pivot point is considered. Underactuated mechanical systems are those having less actuators than degrees of freedom and thereby requiring more sophisticated nonlinear control methods. This class of systems includes among others frequently used for the modeling of walking planar structures. This paper presents the stabilization...
Die Ähnlichkeitsbewegungen beim allgemeinen ?-Körperproblem
Do nekonečna v konečném čase
Dynamical aspects of an equilateral restricted four-body problem.
Dynamique des amas d'étoiles
Energy Conserving, Arbitrary Order Numerical Solutions of the N-Body Problem.
Explicit Solutions of Classical Generalized Toda Models.
Generic properties of classical n-body systems, in one dimension, and crystal theory