Řešení problému těles
Sobre los sistemas mecánicos con enlaces.
A mathematical model is proposed in order to describe the behaviour of mechanical systems with constraints.
Some open problems in dynamical systems.
Systèmes intégrables à -corps sur la droite
The Drazin inverse in multibody system dynamics.
The -centre problem of celestial mechanics for large energies
We consider the classical three-dimensional motion in a potential which is the sum of attracting or repelling Coulombic potentials. Assuming a non-collinear configuration of the centres, we find a universal behaviour for all energies above a positive threshold. Whereas for there are no bounded orbits, and for there is just one closed orbit, for the bounded orbits form a Cantor set. We analyze the symbolic dynamics and estimate Hausdorff dimension and topological entropy of this hyperbolic set....
Topology and Mechanics. II. The Planar n-Body Problem.
Triple Collision in the Collinear Three-Body Problem.
Вполне интегрируемая модель классической теории поля с нетривиальным взаимодействием частиц в двумерном пространстве-времени
Об S-матричной регуляризации формулы следа для системы трех частиц