Constructions of b-semitoric systems
DOI10.1063/5.0152551zbMath1520.37044arXiv2304.00560MaRDI QIDQ6111703
Eva Miranda, Pau Mir, Sonja Hohloch, Unnamed Author
Publication date: 4 August 2023
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2304.00560
Symplectic manifolds (general theory) (53D05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Poisson manifolds; Poisson groupoids and algebroids (53D17) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)
Related Items (1)
Cites Work
- 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
- Symplectic and Poisson geometry on \( b\)-manifolds
- Codimension one symplectic foliations and regular Poisson structures
- From compact semi-toric systems to Hamiltonian \(S^1\)-spaces
- Cotangent models for integrable systems
- 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
- Semitoric integrable systems on symplectic 4-manifolds
- Moment polytopes for symplectic manifolds with monodromy
- Action-angle variables and a KAM theorem for \(b\)-Poisson manifolds
- Normal forms for Hamiltonian systems with Poisson commuting integrals - elliptic case
- Almost toric symplectic four-manifolds
- Le lemme de Morse isochore
- Convexity properties of the moment mapping
- On geometric quantization of \(b\)-symplectic manifolds
- Convexity for Hamiltonian torus actions on \(b\)-symplectic manifolds
- A family of compact semitoric systems with two focus-focus singularities
- Equivariant classification of \(b^m\)-symplectic surfaces
- On semi-global invariants for focus-focus singularities
- 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
- Existence of a smooth Hamiltonian circle action near parabolic orbits and cuspidal tori
- On cohomological obstructions for the existence of log-symplectic structures
- Examples of integrable and non-integrable systems on singular symplectic manifolds
- Taylor series and twisting-index invariants of coupled spin-oscillators
- Symplectic geometry and spectral properties of classical and quantum coupled angular momenta
- Integrable systems and group actions
- Über das Verhalten analytischer Hamiltonscher Differentialgleichungen in der Nähe einer Gleichgewichtslösung
- Deformations of log-symplectic structures
- Symplectic Groupoids of Log Symplectic Manifolds
- Action-angle Coordinates for Integrable Systems on Poisson Manifolds
- Equivariant normal form for nondegenerate singular orbits of integrable Hamiltonian systems
- A semi-classical study of the Jaynes–Cummings model
- Toric Actions onb-Symplectic Manifolds
- 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
- Convexity of the moment map image for torus actions on b m -symplectic manifolds
- Symplectic invariants for parabolic orbits and cusp singularities of integrable systems
- The topology associated with cusp singular points
- Symplectic classification of coupled angular momenta
- An invitation to singular symplectic geometry
- Examples and counter-examples of log-symplectic manifolds
- Desingularizing $\boldsymbol{b^m}$-Symplectic Structures
- Integrable Systems on Singular Symplectic Manifolds: From Local to Global
- Symplectic and inverse spectral geometry of integrable systems: a glimpse and open problems
- Reduction theory for singular symplectic manifolds and singular forms on moduli spaces
- A b$b$‐symplectic slice theorem
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Constructions of b-semitoric systems