Resonances in the stability problem of a point vortex quadrupole on a plane
type: Item
instance of: scholarly article
title: Resonances in the stability problem of a point vortex quadrupole on a plane
zbMATH Open document ID: 1479.76037
DOI: 10.1134/S1560354721050051
author: L. G. Kurakin
author: Irina V. Ostrovskaya
published in: Regular and Chaotic Dynamics
publication date: 2021-12-09T00:00:00Z
Mathematics Subject Classification ID: 76E07
Mathematics Subject Classification ID: 76B47
Mathematics Subject Classification ID: 76U05
zbMATH DE Number: 7441645
zbMATH Keywords: vortex Kirchhoff problem
zbMATH Keywords: rotating point vortex quadrupole
zbMATH Keywords: Hamiltonian equation
zbMATH Keywords: stability
zbMATH Keywords: resonance
MaRDI profile type: Publication
cites work: The \(N\)-vortex problem. Analytical techniques
cites work: Vortex Dynamics
cites work: Dynamics of vortex structures in a stratified rotating fluid. Translated from Russian by Gennady N. Krichivets and Olga I. Yakovenko
cites work: Q5491550
cites work: Point vortex dynamics: A classical mathematics playground
cites work: A survey of the stability criteria of Thomson's vortex polygons outside a circular domain
cites work: Q4004015
cites work: Q3857737
cites work: Q5151953
cites work: On the stability of an autonomous Hamiltonian system with two degrees of freedom in the case of equal frequencies
cites work: The stability of stationary rotation of a regular vortex polygon
cites work: Stability of body-centered polygonal configurations of ideal vortices
cites work: Stability of point-vortex multipoles revisited
cites work: On the stability of two-layer geostrophic point-vortex multipoles
cites work: On the stability of discrete tripole, quadrupole, Thomson' vortex triangle and square in a two-layer/homogeneous rotating fluid
cites work: On the Stability of Thomson’s Vortex $N$-gon and a Vortex Tripole/Quadrupole in Geostrophic Models of Bessel Vortices and in a Two-Layer Rotating Fluid: a Review
cites work: Q3030296
cites work: On stability of thomson's vortex \(N\)-gon in the geostrophic model of the point Bessel vortices
cites work: Equilibria and stability of four point vortices on a sphere
cites work: Three-dimensional quasi-geostrophic vortex equilibria with -fold symmetry
cites work: On the Stability of the Orbit and the Invariant Set of Thomson’s Vortex Polygon in a Two-Fluid Plasma
cites work: Vortex interaction dynamics in trapped Bose-Einstein condensates
cites work: Stability of regular vortex polygons in Bose-Einstein condensate
cites work: Phase Topology of Two Vortices of Identical Intensities in a Bose – Einstein Condensate
full work available at URL: s1560354721050051
OpenAlex ID: W3206366890
description: scientific article; zbMATH DE number 7441645