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The construction of a Poisson structure out of a symmetry and a conservation law of a dynamical system
A method to construct Hamiltonian theories for systems of both ordinary and partial differential equations is presented. The knowledge of a Lagrangian is not at all necessary to achieve the result. The only ingredients ...
Small oscillations: A new solution based on non-Noetherian symmetries
A new (non-Noetherian) symmetry transformation for the small oscillations problem is exhibited. A novel way to solve this classical problem, based on conservation laws constructed using the new symmetry, is presented. ...