Symmetries and conservation laws for the generalized n‐dimensional Ermakov system
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Publication:6189715
DOI10.1002/mma.8413arXiv2205.14577MaRDI QIDQ6189715
Andronikos Paliathanasis, Peter G. L. Leach, Genly Leon
Publication date: 4 March 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.14577
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)
Cites Work
- Unnamed Item
- Integrable Hénon-Heiles hamiltonians: a Poisson algebra approach
- Dynamical symmetries and the Ermakov invariant
- Quadratic conservation laws and collineations: a discussion
- Ermakov systems: A group-theoretic approach
- On the Lie symmetries of a class of generalized Ermakov systems
- The Ermakov invariant for the trajectory representation of quantum mechanics
- Affine motion of 2d incompressible fluids surrounded by vacuum and flows in \(\text{SL}(2,\mathbb{R})\)
- Ermakov-Lewis invariant in Koopman-von Neumann mechanics
- Noether's theorem and symmetry
- Classification of the classical \(\mathrm{SL}(2,\mathbb R)\) gauge transformations in the rigid body
- Symmetries and singularities of the Szekeres system
- The Lie algebra \(\mathfrak{sl}(2,\mathbb{R})\) and Noether point symmetries of Lagrangian systems
- Autonomous three-dimensional Newtonian systems which admit Lie and Noether point symmetries
- Generalizing the autonomous Kepler–Ermakov system in a Riemannian space
- Two-dimensional dynamical systems which admit Lie and Noether symmetries
- Kepler-Ermakov problems
- Ermakov systems of arbitrary order and dimension: structure and linearization
- On (2+1)-dimensional Ermakov systems
- A note on the construction of the Ermakov$ndash$Lewis invariant
- Demystifying the constancy of the Ermakov–Lewis invariant for a time-dependent oscillator
- Hamiltonian symmetry classification, integrals, and exact solutions of a generalized Ermakov system
- Maximally superintegrable systems in flat three-dimensional space are linearizable
- Exact Quantization Conditions. II
- Two integrable Hamiltonian hierarchies in sl(2,R) and so(3,R) with three potentials
- The nonlinear differential equation 𝑦”+𝑝(𝑥)𝑦+𝑐𝑦⁻³=0
- Ermakov-Lewis invariants and Reid systems
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