Thomson's heptagon: A case of bifurcation at infinity

DOI10.1016/j.physd.2008.02.030zbMath1143.76404OpenAlexW1973032300WikidataQ57569612 ScholiaQ57569612MaRDI QIDQ942774

Carles Simó, Stefanella Boatto

Publication date: 5 September 2008

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2008.02.030

zbMATH Keywords

stabilityrelative equilibriaHamiltonian systemspoint-vortex dynamics

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Hydrodynamic stability (76E99)

Related Items (8)

\(N\)-body dynamics on an infinite cylinder: the topological signature in the dynamics ⋮ Stability and bifurcation in the circular restricted \((N+2)\)-body problem in the sphere \(\mathbb{S}^2\) with logarithmic potential ⋮ Dynamics and bifurcation of passive tracers advected by a ring of point vortices on a sphere ⋮ Vortex patches choreography for active scalar equations ⋮ Stability of periodic solutions of the \(N\)-vortex problem in general domains ⋮ Influence of annular boundaries on Thomson's vortex polygon stability ⋮ A vortex ring on a sphere: the case of total vorticity equal to zero ⋮ The Stability of Localized Spot Patterns for the Brusselator on the Sphere

Cites Work

• Motion of three point vortices on a sphere
• Vortex motion on surfaces with constant curvature
• Stability of Relative Equilibria in the Problem of N+1 Vortices
• The stability of stationary rotation of a regular vortex polygon
• Unnamed Item

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