Transition of global dynamics of a polygonal vortex ring on a sphere with pole vortices
From MaRDI portal
Publication:1881720
DOI10.1016/j.physd.2004.05.009zbMath1054.76012OpenAlexW1996302211MaRDI QIDQ1881720
Publication date: 14 October 2004
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/2115/8558
Related Items
Three ways to solve the Poisson equation on a sphere with Gaussian forcing ⋮ Chaotic motion of the \(N\)-vortex problem on a sphere. II. Saddle centers in three-degree-of-freedom Hamiltonians ⋮ Invariant dynamical systems embedded in the \(N\)-vortex problem on a sphere with pole vortices ⋮ From generation to chaotic motion of a ring configuration of vortex structures on a sphere ⋮ Energy-momentum stability of icosahedral configurations of point vortices on a sphere ⋮ Toroidal geometry stabilizing a latitudinal ring of point vortices on a torus ⋮ Chaotic motion of the \(N\)-vortex problem on a sphere. I. Saddle-centers in two-degree-of-freedom Hamiltonians ⋮ Spot Dynamics of a Reaction-Diffusion System on the Surface of a Torus
Cites Work
- The topology of reduced phase spaces of the motion of vortices on a sphere
- Streamline topologies for integrable vortex motion on a sphere
- The motion of three point vortices on a sphere
- Point vortices on the sphere: a case with opposite vorticities
- Motion of a vortex sheet on a sphere with pole vortices
- The stability and energetics of corotating uniform vortices
- Relative equilibria of symmetricn-body problems on a sphere: Inverse and direct results
- Wave and vortex dynamics on the surface of a sphere
- Nonlinear Stability of a Latitudinal Ring of Point-Vortices on a Nonrotating Sphere
- Point vortices on a sphere: Stability of relative equilibria
- Stability of Relative Equilibria in the Problem of N+1 Vortices
- The \(N\)-vortex problem. Analytical techniques