A characterization of tangent and stable tangent bundles
A geometric analysis of dynamical systems with singular Lagrangians
We study dynamics of singular Lagrangian systems described by implicit differential equations from a geometric point of view using the exterior differential systems approach. We analyze a concrete Lagrangian previously studied by other authors by methods of Dirac’s constraint theory, and find its complete dynamics.
A new Lagrangian dynamic reduction in field theory
For symmetric classical field theories on principal bundles there are two methods of symmetry reduction: covariant and dynamic. Assume that the classical field theory is given by a symmetric covariant Lagrangian density defined on the first jet bundle of a principal bundle. It is shown that covariant and dynamic reduction lead to equivalent equations of motion. This is achieved by constructing a new Lagrangian defined on an infinite dimensional space which turns out to be gauge group invariant.
A new look at classical mechanics of constrained systems
A property of connections of mechanical systems of higher order
A unified approach to constrained mechanical systems as implicit differential equations
A Variational Principle For The Theory Of Laminar Boundary Layers In Incompressible Fluids
A variational principle for the theory of laminar boundary layers in incompressible fluids.
Almost product structures and Poisson reduction of presymplectic systems.
An affine framework for analytical mechanics
An affine Cartan calculus is developed. The concepts of special affine bundles and special affine duality are introduced. The canonical isomorphisms, fundamental for Lagrangian and Hamiltonian formulations of the dynamics in the affine setting are proved.
Another approach to the classical calculus of variations. I
Another approach to the classical calculus of variations. III
Characterization of higher-order tangent bundles.
Characterizations of the nonlinear connection in the higher order geometry.
Classification of symmetries for higher order Lagrangian systems II: The non-autonomous case.
Classification of symmetries for higher order Lagrangian systems.
Comment by the editors on the paper : “The hamiltonian formalism in higher order variational problems”
Contact transformations in Wheeler-Feynman electrodynamics
Description lagrangienne d'un boson scalaire à l'aide d'un triplet nucléaire
Differential dynamical systems in Lagrangian optimal control formulation. II. (Systemés dynamiques differéntielles á controle optimal formulation Lagrangienne. II.)