Gauge-independent Hamiltonian reduction of constrained systems.
General relativistic celestial mechanics of binary systems. I. The post-newtonian motion
General relativistic celestial mechanics of binary systems. II. The post-newtonian timing formula
General solution of overdamped Josephson junction equation in the case of phase-lock.
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 Hamiltonian dynamics after Dirac and Tulczyjew
Dirac's generalized Hamiltonian dynamics is given an accurate geometric formulation as an implicit differential equation and is compared with Tulczyjew's formulation of dynamics. From the comparison it follows that Dirac's equation-unlike Tulczyjew's-fails to give a complete picture of the real laws of classical and relativistic dynamics.
Generalized Lagrange-d'Alembert Principle
Generalized polarized manifolds.
Generalized symmetries of massless free fields on Minkowski space.
Generalized Whittaker's equations for holonomic mechanical systems.
Generators for quasi-free completely positive semi-groups
Generic Nekhoroshev theory without small divisors
In this article, we present a new approach of Nekhoroshev’s theory for a generic unperturbed Hamiltonian which completely avoids small divisors problems. The proof is an extension of a method introduced by P. Lochak, it combines averaging along periodic orbits with simultaneous Diophantine approximation and uses geometric arguments designed by the second author to handle generic integrable Hamiltonians. This method allows to deal with generic non-analytic Hamiltonians and to obtain new results of...
Generic properties of classical n-body systems, in one dimension, and crystal theory
Geodesics in the compactly supported Hamiltonian diffeomorphism group.
Geodesics on quadrics and a mechanical problem of C. Neumann.
Geodetické, asymptotické a hlavní křivky plochy z hlediska mechaniky hmotného bodu
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...
Geometric quantization of the MIC-Kepler problem via extension of the phase space
Geometric structures associated with certain dynamical systems. (Structures géométriques associées à certains systèmes dynamiques.)
Geometric study of a family of integrable systems. (Étude géométrique d'une famille de systémes intégrables.)