General relativistic celestial mechanics of binary systems. II. The post-newtonian timing formula
Generalized Birkhoffian realization of nonholonomic systems
Based on the Cauchy-Kowalevski theorem for a system of partial differential equations to be integrable, a kind of generalized Birkhoffian systems (GBSs) with local, analytic properties are put forward, whose manifold admits a presymplectic structure described by a closed 2-form which is equivalent to the self-adjointness of the GBSs. Their relations with Birkhoffian systems, generalized Hamiltonian systems are investigated in detail. Analytic, algebraic and geometric properties of GBSs are formulated,...
Generalized Whittaker's equations for holonomic mechanical systems.
Generators for quasi-free completely positive semi-groups
Generic properties of classical n-body systems, in one dimension, and crystal theory
Geometric mechanics on nonholonomic submanifolds
In this survey article, nonholonomic mechanics is presented as a part of geometric mechanics. We follow a geometric setting where the constraint manifold is a submanifold in a jet bundle, and a nonholonomic system is modelled as an exterior differential system on the constraint manifold. The approach admits to apply coordinate independent methods, and is not limited to Lagrangian systems under linear constraints. The new methods apply to general (possibly nonconservative) mechanical systems subject...
Geometrical Aspects of the Circular Billiard Problem.
Geometry of non-holonomic diffusion
We study stochastically perturbed non-holonomic systems from a geometric point of view. In this setting, it turns out that the probabilistic properties of the perturbed system are intimately linked to the geometry of the constraint distribution. For -Chaplygin systems, this yields a stochastic criterion for the existence of a smooth preserved measure. As an application of our results we consider the motion planning problem for the noisy two-wheeled robot and the noisy snakeboard.
Gli universi ipersferici, il gruppo conforme ed il campo gravitazionale di Newton.
Hard balls gas and Alexandrov spaces of curvature bounded above.
Hill problem analytical theory to the order four: application to the computation of frozen orbits around planetary satellites.
Hydrodynamics of Saturn’s Dense Rings
The space missions Voyager and Cassini together with earthbound observations revealed a wealth of structures in Saturn’s rings. There are, for example, waves being excited at ring positions which are in orbital resonance with Saturn’s moons. Other structures can be assigned to embedded moons like empty gaps, moon induced wakes or S-shaped propeller features. Furthermore, irregular radial structures are observed in the range from 10 meters until kilometers. Here some of these structures will be discussed...
Il campo di gravità: dalla mela di Newton alle misure da satellite
Integral manifolds of the N-body problem.
Introduction to algorithms for molecular simulations
In the first part of the paper we survey some algorithms which describe time evolution of interacting particles in a bounded domain. Applications to macroscale as well as microscale are presented on two examples: motion of planets and collision of two bodies. In the second part of the paper we present solution to stationary Schrödinger equation for simple molecular models.
Isomorphism and Hamilton representation of some nonholonomic systems.
Kepler-Newton-Coulomb system and Lie matrix spin (incomplete).
Kinematic geometry of triangles and the study of the three-body problem.
La théorie de la stabilité et l'analyse qualitative des équations différentielles ordinaires dans les mathématiques italiennes : le point de vue de Tullio Levi-Cwita
Le formalisme de contact en mécanique classique et relativiste