Vortex pairs on the triaxial ellipsoid: axis equilibria stability
type: Item
instance of: scholarly article
title: Vortex pairs on the triaxial ellipsoid: axis equilibria stability
zbMATH Open document ID: 1457.76078
DOI: 10.1134/S1560354719010039
author: Jair Koiller
author: César Castilho
author: Adriano Regis Rodrigues
published in: Regular and Chaotic Dynamics
publication date: 2019-04-26T00:00:00Z
Mathematics Subject Classification ID: 76E99
Mathematics Subject Classification ID: 76B47
Mathematics Subject Classification ID: 76M40
Mathematics Subject Classification ID: 37N10
zbMATH DE Number: 7048266
zbMATH Keywords: point vortex
zbMATH Keywords: Riemann surface
zbMATH Keywords: conformal mapping
zbMATH Keywords: invariant submanifold
MaRDI profile type: Publication
Wikidata QID: Q125724642
cites work: Chern-Simons perturbation theory. II
cites work: Q4463906
cites work: The Riemann Zeros and Eigenvalue Asymptotics
cites work: Vortices on Closed Surfaces
cites work: Q4821521
cites work: Two-dimensional Riemannian metrics with integrable geodesic flows. Local and global geometry
cites work: Q4662321
cites work: Computing elliptic integrals by duplication
cites work: Fast computation of complete elliptic integrals and Jacobian elliptic functions
cites work: A compactification of configuration spaces
cites work: On homoclinic orbits to center manifolds of elliptic-hyperbolic equilibria in Hamiltonian systems
cites work: Stability of streets of vortices on surfaces of revolution with a reflection symmetry
cites work: Partial Differential Relations
cites work: Vortex motion on surfaces with constant curvature
cites work: Homoclinic orbits to invariant tori near a homoclinic orbit to center-center-saddle equilibrium
cites work: Q3978425
cites work: Geometric integration on spheres and some interesting applications
cites work: A minimal-variable symplectic integrator on spheres
cites work: Irregular dynamics and homoclinic orbits to Hamiltonian saddle centers
cites work: The Conley-Zehnder index and the saddle-center equilibrium
cites work: Vortex pairs on a triaxial ellipsoid and Kimura's conjecture
cites work: Elliptic and modular functions from Gauss to Dedekind to Hecke
cites work: Legendre hyperelliptic integrals, \(\pi\) new formulae and Lauricella functions through the elliptic singular moduli
cites work: CLASSIFICATION OF GEODESIC FLOWS OF LIOUVILLE METRICS ON THE TWO-DIMENSIONAL TORUS UP TO TOPOLOGICAL EQUIVALENCE
cites work: Q4691474
cites work: A novel formulation of point vortex dynamics on the sphere: geometrical and numerical aspects
full work available at URL: s1560354719010039
OpenAlex ID: W2912369199
description: scientific article; zbMATH DE number 7048266