Semitoric families
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Publication:6640520
DOI10.1090/memo/1514MaRDI QIDQ6640520
Joseph Palmer, Yohann Le Floch
Publication date: 20 November 2024
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Momentum maps; symplectic reduction (53D20) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)
Cites Work
- Vũ Ngọc's conjecture on focus-focus singular fibers with multiple pinched points
- Semitoric systems of non-simple type
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- Generating hyperbolic singularities in semitoric systems via Hopf bifurcations
- Normalisation of the smooth focus-focus: a simple proof
- Smooth normal forms for integrable Hamiltonian systems near a focus-focus singularity
- First steps in symplectic and spectral theory of integrable systems
- Higher index focus-focus singularities in the Jaynes-Cummings-Gaudin model: symplectic invariants and monodromy
- Topological monodromy as an obstruction to Hamiltonization of nonholonomic systems: pro or contra?
- From compact semi-toric systems to Hamiltonian \(S^1\)-spaces
- The tropical momentum map: a classification of toric log symplectic manifolds
- Constructing integrable systems of semitoric type
- Hamiltonian dynamics and spectral theory for SPIN-oscillators
- Minimal models of compact symplectic semitoric manifolds
- A conceptual approach to the problem of action-angle variables
- Topology of complexity one quotients
- Semitoric integrable systems on symplectic 4-manifolds
- Dynamical manifestations of Hamiltonian monodromy
- Moment polytopes for symplectic manifolds with monodromy
- Non-compact symplectic toric manifolds
- Normal forms for Hamiltonian systems with Poisson commuting integrals - elliptic case
- Almost toric symplectic four-manifolds
- Differential geometric methods in mathematical physics. Proceedings of an International Conference Held at the Technical University of Clausthal, FRG, August 30 - September 2, 1983
- The Hamiltonian Hopf bifurcation
- Le lemme de Morse isochore
- Convexity properties of the moment mapping
- On action-angle variables
- Singularities of momentum maps of integrable Hamiltonian systems with two degrees of freedom.
- A note on focus-focus singularities
- \(L^p\) norms of eigenfunctions in the completely integrable case
- Monodromy in the resonant swing spring
- Maximal tori in the symplectomorphism groups of Hirzebruch surfaces.
- Another note on focus-focus singularities
- Hamiltonian Hopf bifurcation with symmetry
- Faithful semitoric systems
- A family of compact semitoric systems with two focus-focus singularities
- Integrable systems, symmetries, and quantization
- Metamorphoses of Hamiltonian systems with symmetries
- Monodromy in two degrees of freedom integrable systems
- On semi-global invariants for focus-focus singularities
- The problem of two fixed centers: bifurcations, actions, monodromy
- Complete invariants for Hamiltonian torus actions with two dimensional quotients
- Hamiltonian Hopf bifurcation of the hydrogen atom in crossed fields
- Elliptic K3 surfaces as dynamical models and their Hamiltonian monodromy
- Semi-global symplectic invariants of the spherical pendulum
- Monodromy, diabolic points, and angular momentum coupling
- The height invariant of a four-parameter semitoric system with two focus-focus singularities
- A family of semitoric systems with four focus-focus singularities and two double pinched tori
- Hamiltonian monodromy and Morse theory
- Geometric quantization of almost toric manifolds
- Recent advances in the monodromy theory of integrable Hamiltonian systems
- Moduli spaces of toric manifolds
- Smooth invariants of focus-focus singularities and obstructions to product decomposition
- Presymplectic convexity and (ir)rational polytopes
- Fiber connectivity and bifurcation diagrams of almost toric integrable systems
- Monodromy of Hamiltonian systems with complexity 1 torus actions
- Moduli spaces of semitoric systems
- Taylor series and twisting-index invariants of coupled spin-oscillators
- Symplectic geometry and spectral properties of classical and quantum coupled angular momenta
- Symplectic invariants and Hamiltonian dynamics
- Classification of Hamiltonian torus actions with two-dimensional quotients
- Geodesics on the ellipsoid and monodromy
- Über das Verhalten analytischer Hamiltonscher Differentialgleichungen in der Nähe einer Gleichgewichtslösung
- On topological properties of positive complexity one spaces
- Centered complexity one Hamiltonian torus actions
- Equivariant normal form for nondegenerate singular orbits of integrable Hamiltonian systems
- A semi-classical study of the Jaynes–Cummings model
- The quantum mechanical spherical pendulum
- Periodic solutions near equilibria of symmetric Hamiltonian systems
- Hamiltoniens périodiques et images convexes de l'application moment
- On global action-angle coordinates
- Convexity and Commuting Hamiltonians
- Sur Certains Systemes Dynamiques Separables
- Periodic Hamiltonian flows on four-dimensional manifolds
- Normal forms for linear Hamiltonian vector fields commuting with the action of a compact Lie group
- Integrable Hamiltonian system with two degrees of freedom. The topological structure of saturated neighbourhoods of points of focus-focus and saddle-saddle type
- Hamiltonian torus actions on symplectic orbifolds and toric varieties
- The Jaynes-Cummings Model
- The affine invariant of proper semitoric integrable systems
- Singular Bohr–Sommerfeld rules for 2D integrable systems
- The topology associated with cusp singular points
- Addenda and Errata to “The Fundamental Group of S1-manifolds”
- The Fundamental Group ofS1-manifolds
- Quantum states in a champagne bottle
- Symplectic classification of coupled angular momenta
- Global Aspects of Classical Integrable Systems
- Integrable Hamiltonian systems with swallowtails
- A Lagrangian fibration of the isotropic 3-dimensional harmonic oscillator with monodromy
- Convexity Properties of Hamiltonian Group Actions
- On the algebraic problem concerning the normal forms of linear dynamical systems.
- Simple non-rational convex polytopes via symplectic geometry
- Convexity of Singular Affine Structures and Toric-Focus Integrable Hamiltonian Systems
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