Nonautonomous submersive second-order differential equations and Lie symmetries

DOI10.1007/BF00672699zbMath0810.53016OpenAlexW2050463676MaRDI QIDQ1340334

Manuel de León, David Martín de Diego

Publication date: 9 April 1995

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00672699

zbMATH Keywords

motion equationsEuler-Lagrange vector fieldnonautonomous Lagrangian systems

Mathematics Subject Classification ID

Ordinary differential equations and systems on manifolds (34C40) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items

Complete separability of time-dependent second-order ordinary differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Le théorème de réduction de Marsden-Weinstein en géométrie cosymplectique et de contact. (The Marsden-Weinstein reduction theorem in cosymplectic and contact geometry)
• Reduction of degenerate Lagrangian systems
• Reduction of symplectic manifolds with symmetry
• Reduction, symmetry, and phases in mechanics
• Affine bundles and integrable almost tangent structures
• A complete classification of dynamical symmetries in classical mechanics
• Toward a classification of dynamical symmetries in classical mechanics
• Submersive second order ordinary differential equations
• Almost Tangent and Cotangent Structures in the Large
• Lectures on Mechanics
• Gradient vector fields on cosymplectic manifolds
• Geometric characterization of separable second-order differential equations