Symmetries of Hamiltonian systems with two degrees of freedom
Copyright policy )Symmetries of Hamiltonian systems with two degrees of freedom
We classify the Lie point symmetry groups for an autonomous Hamiltonian system with two degrees of freedom. With the exception of the harmonic oscillator or a free particle where the dimension is 15, we obtain all dimensions between 1 and 7. For each system in the classification we examine integrability.
- University of Cyprus Cyprus
Hamilton's equations, classification, Lie point symmetry groups, Dynamical systems in classical and celestial mechanics, autonomous Hamiltonian system, Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics, integrability
Hamilton's equations, classification, Lie point symmetry groups, Dynamical systems in classical and celestial mechanics, autonomous Hamiltonian system, Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics, integrability
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