High-dimensional heteroclinic and homoclinic connections in odd point-vortex ring on a sphere

DOI10.1088/0951-7715/19/1/005zbMath1092.76011OpenAlexW2040586645MaRDI QIDQ5473332

Takashi Sakajo

Publication date: 20 June 2006

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2115/5417

zbMATH Keywords

Hamiltonianprojection methodlinear stability analysis

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Vortex flows for incompressible inviscid fluids (76B47) Hydrodynamic stability (76E99)

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Three ways to solve the Poisson equation on a sphere with Gaussian forcing ⋮ Invariant dynamical systems embedded in the \(N\)-vortex problem on a sphere with pole vortices ⋮ Chaotic motion of the \(N\)-vortex problem on a sphere. I. Saddle-centers in two-degree-of-freedom Hamiltonians

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