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Involutive orbits of non-Noether symmetry groups

George Chavchanidze
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Abstract

We consider set of functions on Poisson manifold related by continues one-parameter group of transformations. Class of vector fields that produce involutive families of functions is investigated and relationship between these vector fields and non-Noether symmetries of Hamiltonian dynamical systems is outlined. Theory is illustrated with sample models: modified Boussinesq system and Broer-Kaup system.

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George Chavchanidze. 2005-04-19. Involutive orbits of non-Noether symmetry groups. https://doi.org/10.1088/0305-4470%2F38%2F29%2F007

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