Symmetry and bifurcations of planar configurations of the N-body and other problems

DOI10.1080/713603736zbMath0984.70010OpenAlexW2095010128MaRDI QIDQ4500164

Kathryn Glass

Publication date: 2 May 2002

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/713603736

zbMATH Keywords

bifurcationcentral configurationN-body problemcelestial mechanicssphere packingasymptotic shapeasymmetric equilibriumvortex systemrepelling particles

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) (n)-body problems (70F10)

Related Items (1)

Euler configurations and quasi-polynomial systems

Cites Work

• Integrability of a system of \(N\) electrons subjected to Coulombian interactions
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Singularities and groups in bifurcation theory. Volume II
• Relative equilibria with clusters of small masses
• Equilibrium configurations for a system of \(N\) particles in the plane
• Bifurcations of Relative Equilibria in the N-Body and Kirchhoff Problems
• NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (I): BIFURCATION IN FINITE DIMENSIONS

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