Chaotic motion of the \(N\)-vortex problem on a sphere. I. Saddle-centers in two-degree-of-freedom Hamiltonians
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Publication:1015418
DOI10.1007/s00332-008-9019-9zbMath1168.37026OpenAlexW2052869340MaRDI QIDQ1015418
Takashi Sakajo, Kazuyuki Yagasaki
Publication date: 8 May 2009
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00332-008-9019-9
Related Items (10)
Shape dynamics of N point vortices on the sphere ⋮ Horseshoes for the nearly symmetric heavy top ⋮ Heteroclinic transition motions in periodic perturbations of conservative systems with an application to forced rigid body dynamics ⋮ Chaotic motion of the \(N\)-vortex problem on a sphere. II. Saddle centers in three-degree-of-freedom Hamiltonians ⋮ Equilibria and stability of four point vortices on a sphere ⋮ From generation to chaotic motion of a ring configuration of vortex structures on a sphere ⋮ Toroidal geometry stabilizing a latitudinal ring of point vortices on a torus ⋮ Chebyshev spectral methods for computing center manifolds ⋮ Heteroclinic orbits and nonintegrability in two-degree-of-freedom Hamiltonian systems with saddle-centers ⋮ Spot Dynamics of a Reaction-Diffusion System on the Surface of a Torus
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