Driven Newton equations and separable time-dependent potentials

DOI10.1063/1.1514833zbMath1060.70024OpenAlexW2051575193MaRDI QIDQ4832848

Stefan Rauch-Wojciechowski, Hans Lundmark

Publication date: 14 December 2004

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

Full work available at URL: https://semanticscholar.org/paper/4af0c3d776797c81432217e60d1b10238f380c2f

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Related Items (5)

The equation \(X\nabla \text{det}X = \text{det}X\nabla \text{tr}X\), multiplication of cofactor pair systems, and the Levi-Civita equivalence problem ⋮ From Jacobi problem of separation of variables to theory of quasipotential Newton equations ⋮ Multiplication of solutions for linear overdetermined systems of partial differential equations ⋮ Multiplication for solutions of the equation grad \(f = M\) grad \(g\) ⋮ Vanishing of the entropy pseudonorm for certain integrable systems

Cites Work

• A class of nonconservative Lagrangian systems on Riemannian manifolds
• Separation of variables on n-dimensional Riemannian manifolds. I. The n-sphere S n and Euclidean n-space R n
• Killing Tensors and Nonorthogonal Variable Separation for Hamilton–Jacobi Equations
• Submersive second order ordinary differential equations
• Separation of variables in quasi-potential systems of bi-cofactor form
• Quasi-Lagrangian systems of Newton equations

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