Lagrangian theory for presymplectic systems
Lagrangians and hamiltonians on affine bundles and higher order geometry
The higher order bundles defined by an anchored bundle are constructed as a natural extension of the higher tangent spaces of a manifold. We prove that a hyperregular lagrangian (hyperregular affine hamiltonian) is a linearizable sub-lagrangian (affine sub-hamiltonian) on a suitable Legendre triple.
Lagrangians and higher order tangent spaces.
Le formalisme de contact en mécanique classique et relativiste
Le problème de Cauchy pour les équations de Hamilton-Jacobi-Bellman
Lepagean 2-forms in higher order Hamiltonian mechanics. I. Regularity
Lepagean 2-forms in higher order Hamiltonian mechanics. II. Inverse problem
Levi-flat invariant sets of holomorphic symplectic mappings
We classify four families of Levi-flat sets which are defined by quadratic polynomials and invariant under certain linear holomorphic symplectic maps. The normalization of Levi- flat real analytic sets is studied through the technique of Segre varieties. The main purpose of this paper is to apply the Levi-flat sets to the study of convergence of Birkhoff's normalization for holomorphic symplectic maps. We also establish some relationships between Levi-flat invariant sets...
Lie algebroids and mechanics
We give a formulation of certain types of mechanical systems using the structure of groupoid of the tangent and cotangent bundles to the configuration manifold ; the set of units is the zero section identified with the manifold . We study the Legendre transformation on Lie algebroids.
Lie algebroids in classical mechanics and optimal control.
Lie point Symmetries of Hamiltonian Systems
Los Espacios de Hilbert-Lobatschewsky. La masa de un gas relativista. Las ondas relativistas de materia.
Mathematical model for diamond-type crystals with impurities or defects.
Mechanical Lagrangian systems with external forces.
Models for quadratic algebras associated with second order superintegrable systems in 2D.
Multibump solutions for a class of lagrangian systems slowly oscillating at infinity
Multiple closed orbits for singular conservative systems via geodesic theory
Multiple homoclinic orbits for a class of conservative systems
Multiple orbits for hamiltonian systems on starshaped surfaces with symmetries
Multiple solutions for a class of -Laplacian systems.