Equilibria and stability of four point vortices on a sphere
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Publication:5161090
DOI10.1098/rspa.2020.0344zbMath1472.70029OpenAlexW3090427231WikidataQ100649619 ScholiaQ100649619MaRDI QIDQ5161090
Publication date: 29 October 2021
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1098/rspa.2020.0344
Stability for nonlinear problems in mechanics (70K20) Stability of solutions to ordinary differential equations (34D20) Ordinary differential equations and systems on manifolds (34C40) (n)-body problems (70F10)
Related Items (2)
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Cites Work
- Chaotic motion of the \(N\)-vortex problem on a sphere. I. Saddle-centers in two-degree-of-freedom Hamiltonians
- Dynamics of three vortices on a sphere
- Motion of three point vortices on a sphere
- On the late-time behaviour of a bounded, inviscid two-dimensional flow
- Point vortex equilibria and optimal packings of circles on a sphere
- Integrable four-vortex motion on sphere with zero moment of vorticity
- Point vortex equilibria on the sphere via Brownian ratchets
- Wave and vortex dynamics on the surface of a sphere
- A vortex ring on a sphere: the case of total vorticity equal to zero
- The motion of point vortices on closed surfaces
- Point vortex interactions on a toroidal surface
- The \(N\)-vortex problem. Analytical techniques
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