Bifurcations of Relative Equilibria in the N-Body and Kirchhoff Problems
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Publication:3814879
DOI10.1137/0519094zbMath0663.70017OpenAlexW2031739981MaRDI QIDQ3814879
Kenneth R. Meyer, Dieter S. Schmidt
Publication date: 1988
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0519094
N-body problemLie transformsalgebraic processorN-vortex problem of Kirchhoffone-parameter family of relative equilibria
Related Items (15)
Topological bifurcations of spatial central configurations in the \(N\)-body problem ⋮ Central configurations and a theorem of Palmore ⋮ Bifurcations of critical orbits of invariant potentials with applications to bifurcations of central configurations of the \(N\)-body problem ⋮ Relative equilibria in the four-vortex problem with two pairs of equal vorticities ⋮ Bifurcation of periodic solutions from a ring configuration in the vortex and filament problems ⋮ Morse theory and relative equilibria in the planar \(n\)-vortex problem ⋮ Global bifurcation of polygonal relative equilibria for masses, vortices and dNLS oscillators ⋮ The \(N\)-gon is not a local minimum of \(U^ 2 I\) for \(N \geq{} 7\) ⋮ Planar \(N\)-body central configurations with a homogeneous potential ⋮ Elliptic relative equilibria in the \(N\)-body problem ⋮ Bifurcation of central configuration in the \(2N+1\) body problem ⋮ A continuum of relative equilibria in the five-body problem ⋮ Central configurations with many small masses ⋮ On the number of central configurations in the n-body problem ⋮ Symmetry and bifurcations of planar configurations of the N-body and other problems
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