An inverse problem in Lagrangian dynamics based on the preservation of symmetry groups: application to systems with a position-dependent mass
From MaRDI portal
Publication:1703768
DOI10.1007/s00707-017-1956-7zbMath1430.70051OpenAlexW2759364370WikidataQ58324883 ScholiaQ58324883MaRDI QIDQ1703768
Otto Rutwig Campoamor Stursberg
Publication date: 7 March 2018
Published in: Acta Mechanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00707-017-1956-7
Inverse problems for systems of particles (70F17) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Lagrange's equations (70H03) Special quantum systems, such as solvable systems (81Q80)
Related Items
An alternative interpretation of the Beltrametti-Blasi formula by means of differential forms, Some Remarks Concerning the Invariants of Rank One Solvable Real Lie Algebras, Nonlocal transformations of the generalized Liénard type equations and dissipative Ermakov-Milne-Pinney systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Perturbations of Lagrangian systems based on the preservation of subalgebras of Noether symmetries
- Lagrange's equations for open systems, derived via the method of fictitious particles, and written in the Lagrange description of continuum mechanics
- Superintegrable systems with a position dependent mass: Kepler-related and oscillator-related systems
- Principle of generalized velocities in dynamics of planar separation of a rigid body
- On the inverse Lagrangian problem
- Noether's theory in classical nonconservative mechanics
- A note on conservation principles in classical mechanics
- An alternative approach to systems of second-order ordinary differential equations with maximal symmetry. Realizations of \(\mathfrak{sl}(n+2,\mathbb{R})\) by special functions
- On certain types of point symmetries of systems of second-order ordinary differential equations
- Dynamics of mechanical systems with variable mass. Papers based on the presentations at the CISM course, Udine, Italy, September 2012
- Noether equations and conservation laws
- A group-variational procedure for finding first integrals of dynamical systems
- Geometric theory on the dynamics of a position-dependent mass particle
- Autonomous three-dimensional Newtonian systems which admit Lie and Noether point symmetries
- The Application of Lagrange Equations to Mechanical Systems With Mass Explicitly Dependent on Position
- Connection between quantum mechanical and classical time evolution of certain dissipative systems via a dynamical invariant
- Symmetries of linear systems of second-order ordinary differential equations
- Lie point symmetries for systems of second order linear ordinary differential equations
- Sl(3,R) and the repulsive oscillator
- Generalizations of Noether’s Theorem in Classical Mechanics
- Toward a classification of dynamical symmetries in classical mechanics
- Ermakov systems, velocity dependent potentials, and nonlinear superposition
- Dynamical symmetries and constants of the motion for classical particle systems
- The Equivalence Problem for Systems of Second-Order Ordinary Differential Equations
- Geometry from Dynamics, Classical and Quantum
