Finiteness and bifurcations of some symmetrical classes of central configurations
From MaRDI portal
Publication:1401596
DOI10.1007/s00205-002-0241-6zbMath1032.70007OpenAlexW2156971036MaRDI QIDQ1401596
Publication date: 18 August 2003
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-002-0241-6
Related Items (38)
Numbers of relative equilibria in the planar four-vortex problem: some special cases ⋮ Number of central configurations and singular surfaces in the mass space in the collinear four-body problem ⋮ Central configurations of the 4-body problem with masses \(m_1 = m_2 > m_3 = m_4 = m > 0\) and \(m\) small ⋮ Convex four-body central configurations with some equal masses ⋮ Some enumeration problems on central configurations at the bifurcation points ⋮ Double-antiprism central configurations of the \(3n\)-body problem ⋮ Maxwell's conjecture on three point charges with equal magnitudes ⋮ The symmetric central configurations of the 4-body problem with masses \(m_1 = m_2 \neq m_3 = m_4\) ⋮ Convex central configurations of the 4-body problem with two pairs of equal adjacent masses ⋮ A family of stacked central configurations in the planar five-body problem ⋮ Symmetry of planar four-body convex central configurations ⋮ Toward finiteness of central configurations for the planar six-body problem by symbolic computations. I: Determine diagrams and orders ⋮ Stacked Central Configurations with a Homogeneous Potential in \(\mathbb{R}^3\) ⋮ Bifurcations and enumeration of central configurations of some planar restricted problems ⋮ Co-circular and co-spherical kite central configurations ⋮ Central configurations for the planar Newtonian four-body problem ⋮ Generic finiteness for a class of symmetric planar central configurations of the six-body problem and the six-vortex problem ⋮ Euler configurations and quasi-polynomial systems ⋮ Five-body central configurations and symmetry ⋮ Tangential trapezoid central configurations ⋮ Linear instability of elliptic rhombus solutions to the planar four-body problem ⋮ New spatial central configurations in the 5-body problem ⋮ Central configurations of four bodies with an axis of symmetry ⋮ Planar \(N\)-body central configurations with a homogeneous potential ⋮ Classifying four-body convex central configurations ⋮ Trapezoid central configurations ⋮ On the central configurations of the planar restricted four-body problem ⋮ Rational parameterizations approach for solving equations in some dynamical systems problems ⋮ Hjelmslev quadrilateral central configurations ⋮ Bicentric quadrilateral central configurations ⋮ On the uniqueness of the isosceles trapezoidal central configuration in the 4-body problem for power-law potentials ⋮ \(4\)-vortex trapezoidal central configurations ⋮ Localization of real algebraic hypersurfaces with applications to the enumeration of the classes of relative equilibria of a \((5+1)\)-body problem ⋮ Central configurations of the five-body problem with equal masses ⋮ Classification of four-body central configurations with three equal masses ⋮ Bifurcation of Relative Equilibria of the (1+3)-Body Problem ⋮ Dziobek configurations of the restricted (N + 1)-body problem with equal masses ⋮ On the relative equilibria of the (rhombus+1)-body problem
This page was built for publication: Finiteness and bifurcations of some symmetrical classes of central configurations
