Lambda-symmetries of Dynamical Systems, Hamiltonian and Lagrangian equations

Details Lambda-symmetries of Dynamical Systems, Hamiltonian and Lagrangian equations Lambda-symmetries of Dynamical Systems, Hamiltonian and Lagrangian equations

2011-02-16

arxiv.org/abs/1102.3269v1

Physics

Mathematical Physics

15 pages, Proceedings of Workshop on Group Analysis of Differential Equations and Integrable Systems, Protaras, Cyprus, June 2

Scientific paper

After a brief survey of the definition and the properties of Lambda-symmetries in the general context of dynamical systems, the notion of "Lambda-constant of motion'' for Hamiltonian equations is introduced. If the Hamiltonian problem is derived from a Lambda-invariant Lagrangian, it is shown how the Lagrangian Lambda-invariance can be transferred into the Hamiltonian context and shown that the Hamiltonian equations turn out to be Lambda-symmetric. Finally, the "partial'' (Lagrangian) reduction of the Euler-Lagrange equations is compared with the reduction obtained for the corresponding Hamiltonian equations.

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