An invitation to singular symplectic geometry

DOI10.1142/S0219887819400085zbMath1423.53098arXiv1705.03846OpenAlexW2964192738MaRDI QIDQ5233082

Amadeu Delshams, Eva Miranda, Arnau Planas, Cédric Oms, Roisin Braddell

Publication date: 13 September 2019

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.03846

zbMATH Keywords

symplectic geometrycelestial mechanicsPoisson geometry\(b\)-symplectic structures

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Poisson manifolds; Poisson groupoids and algebroids (53D17) Contact manifolds (general theory) (53D10) Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05) Collisions in celestial mechanics, regularization (70F16)

Related Items (14)

Hamiltonian facets of classical gauge theories on E-manifolds ⋮ Scaling symmetries, contact reduction and Poincaré’s dream ⋮ From 2\(N\) to infinitely many escape orbits ⋮ Constructions of b-semitoric systems ⋮ \(b\)-contact structures on tentacular hyperboloids ⋮ Contact structures with singularities: from local to global ⋮ Singular cotangent models in fluids with dissipation ⋮ Quasiperiodicity and blowup in integrable subsystems of nonconservative nonlinear Schrödinger equations ⋮ Dynamics of waves and patterns. Abstracts from the workshop held August 8--14, 2021 (hybrid meeting) ⋮ Deformation of Lie–Poisson algebras and chirality ⋮ Global instability in the restricted planar elliptic three body problem ⋮ The singular Weinstein conjecture ⋮ Global dynamics in nonconservative nonlinear Schrödinger equations ⋮ On the volume elements of a manifold with transverse zeroes

Cites Work

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