On the singular Weinstein conjecture and the existence of escape orbits for b-Beltrami fields

DOI10.1142/S0219199721500760zbMath1506.37079arXiv2010.00564WikidataQ113776898 ScholiaQ113776898MaRDI QIDQ5102389

Eva Miranda, Cédric Oms, Daniel Peralta-Salas

Publication date: 6 September 2022

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.00564

zbMATH Keywords

periodic orbitsLaplacianReeb vector fieldsrestricted 3-body problemescape orbitssingular Weinstein conjecture\(b\)-contact manifoldsBeltrami vector fields

Mathematics Subject Classification ID

Three-body problems (70F07) Contact manifolds (general theory) (53D10) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Related Items (7)

Hamiltonian facets of classical gauge theories on E-manifolds ⋮ From 2\(N\) to infinitely many escape orbits ⋮ Contact topology and non-equilibrium thermodynamics ⋮ \(b\)-contact structures on tentacular hyperboloids ⋮ Chaos from symmetry: Navier Stokes equations, Beltrami fields and the universal classifying crystallographic group ⋮ Contact structures with singularities: from local to global ⋮ Singular cotangent models in fluids with dissipation

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