The averaging of nonlocal Hamiltonian structures in Whitham's method.
The calculus of variations on jet bundles as a universal approach for a variational formulation of fundamental physical theories
As widely accepted, justified by the historical developments of physics, the background for standard formulation of postulates of physical theories leading to equations of motion, or even the form of equations of motion themselves, come from empirical experience. Equations of motion are then a starting point for obtaining specific conservation laws, as, for example, the well-known conservation laws of momenta and mechanical energy in mechanics. On the other hand, there are numerous examples of physical...
The equivalence between the Hamiltonian and Lagrangian formulations for the parametrization-invariant theories.
The Problem of Invariance for Covariant hamiltonians
Towards an analytical mechanics of dissipative materials.
Towards unifying structures in higher spin gauge symmetry.