On inhomogeneous linear automorphisms of simple hamiltonian systems
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The present paper is concerned with the inhomogeneous linear automorphisms of simple Hamiltonian systems. The generating functions of these automorphisms are obtained for the systems which admit the scalar-preserving isometry groups of higher orders. The Lie algebras of the corresponding infinitesimal automorphisms are classified into two types, the kinematical and dynamical algebras. The structures of these algebras are made clear on the basis of the generating functions.
Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics, Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics, Hamiltonian and Lagrangian mechanics, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics, Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics, Hamiltonian and Lagrangian mechanics, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
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