Separability of completely integrable dynamical systems admitting alternative Lagrangian descriptions

DOI10.1007/BF00400712zbMath0573.58014MaRDI QIDQ1063300

G. Lo Vecchio, Giuseppe Morandi, Carlo Ferrario, Giuseppe Marmo

Publication date: 1985

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

complete integrabilityLagrangianssecond-order Lagrangian vector field

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

Geometric characterization of separable second-order differential equations ⋮ Alternative Lagrangians for spherically symmetric potentials ⋮ The inverse problem in the calculus of variations and the geometry of the tangent bundle ⋮ Variational principles for nonpotential operators

Cites Work

• A new look at second-order equations and Lagrangian mechanics
• On the differential geometry of the Euler-Lagrange equations, and the inverse problem of Lagrangian dynamics
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