Singularities of momentum maps of integrable Hamiltonian systems with two degrees of freedom.
Spontaneously broken symmetries
Symmetries and constants of the motion for dynamics in implicit form
Symmetries and integrals of motion in optimal control
Symmetries of a dynamical system represented by singular Lagrangians
Dynamical properties of singular Lagrangian systems differ from those of classical Lagrangians of the form . Even less is known about symmetries and conservation laws of such Lagrangians and of their corresponding actions. In this article we study symmetries and conservation laws of a concrete singular Lagrangian system interesting in physics. We solve the problem of determining all point symmetries of the Lagrangian and of its Euler-Lagrange form, i.e. of the action. It is known that every point...
Symmetries of second-order potential differential systems.
Symmetries of spin Calogero models.