The harmonic Lagrange top and the confluent Heun equation
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Publication:2674290
DOI10.1134/S1560354722040049zbMath1498.70009arXiv2111.14052MaRDI QIDQ2674290
Holger R. Dullin, Diana M. H. Nguyen, Sean R. Dawson
Publication date: 22 September 2022
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.14052
General mathematical topics and methods in quantum theory (81Q99) Motion of a rigid body with a fixed point (70E17)
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Cites Work
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- Generating hyperbolic singularities in semitoric systems via Hopf bifurcations
- Semitoric integrable systems on symplectic 4-manifolds
- Hamiltonian systems with detuned 1:1:2 resonance: manifestation of bidromy
- On the theory of motion of a rigid body with a vibrating suspension
- The complex geometry of the Lagrange top
- Rigid body dynamics
- Metamorphoses of Hamiltonian systems with symmetries
- Poisson integrator for symmetric rigid bodies
- Discrete time Lagrangian mechanics on Lie groups, with an application to the Lagrange top
- The monodromy of the Lagrange top and the Picard-Lefschetz formula.
- The magnetic spherical pendulum
- A top on a vibrating base: new integrable problem of nonholonomic mechanics
- On the existence of focus singularities in one model of a Lagrange top with a vibrating suspension point
- Bifurcations and monodromy of the axially symmetric \(1:1:-2\) resonance
- On bi-Hamiltonian geometry of the Lagrange top
- Solutions to a generalized spheroidal wave equation: Teukolsky’s equations in general relativity, and the two-center problem in molecular quantum mechanics
- The quantum mechanical spherical pendulum
- On global action-angle coordinates
- Degeneration of Hamiltonian monodromy cycles
- Spin-weighted angular spheroidal functions
- The calculus of snakes and the combinatorics of Bernoulli, Euler and Springer numbers of Coxeter groups
- Neumann system, spherical pendulum and magnetic fields
- Global Aspects of Classical Integrable Systems
- Nearly-integrable perturbations of the Lagrange top: applications of KAM-theory
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