Two-dimensional systems that arise from the Noether classification of Lagrangians on the line
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Publication:716099
DOI10.1016/j.amc.2011.01.104zbMath1237.70039arXiv1001.4622OpenAlexW1997403176MaRDI QIDQ716099
F. M. Mahomed, Muhammad Farooq, Sajid Ali
Publication date: 19 April 2011
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1001.4622
Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Lagrange's equations (70H03)
Related Items (4)
A complex Noether approach for variational partial differential equations ⋮ Differential invariants of a class of Lagrangian systems with two degrees of freedom ⋮ Noether-like operators and first integrals for generalized systems of Lane-Emden equations ⋮ A complex Lie-symmetry approach to calculate first integrals and their numerical preservation
Uses Software
Cites Work
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- Computing ODE symmetries as abnormal variational symmetries
- Noether's symmetry theorem for nabla problems of the calculus of variations
- Invariants of two-dimensional systems via complex Lagrangians with applications
- A new conservation theorem
- Complex Lie symmetries for scalar second-order ordinary differential equations
- Constants of motion for non-differentiable quantum variational problems
- Equivalence problems for first order Lagrangians on the line
- Lie and Noether counting theorems for one-dimensional systems
- Noether equivalence problem for particle Lagrangians
- Symmetry breaking for a system of two linear second-order ordinary differential equations
- Relationship between symmetries and conservation laws
- Proper extensions of Noether's symmetry theorem for nonsmooth extremals of the calculus of variations
- Linearizability criteria for systems of two second-order differential equations by complex methods
- Noether-type symmetries and conservation laws via partial Lagrangians
- Symmetries of differential equations. IV
- Lie point symmetries for systems of second order linear ordinary differential equations
- Symmetries of the time-dependent N-dimensional oscillator
- The inverse problem of the calculus of variations for ordinary differential equations
- The Lie group of Newton's and Lagrange's equations for the harmonic oscillator
- Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
- Complex Lie Symmetries for Variational Problems
- Symmetry group classification of ordinary differential equations: Survey of some results
- Lie algebras associated with scalar second-order ordinary differential equations
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