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A note on the relative equilibria bifurcations in the \((2N+1)\)-body problem

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Publication:258117
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DOI10.1007/s10884-014-9388-8zbMath1357.70009OpenAlexW1981084158MaRDI QIDQ258117

Jenică Crînganu, Daniel Paşca, Cristina Stoica

Publication date: 17 March 2016

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-014-9388-8

zbMATH Keywords

relative equilibria\(2N\)-gonebody problem


Mathematics Subject Classification ID

Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) (n)-body problems (70F10)




Cites Work

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  • On the ``blue sky catastrophe termination in the restricted four-body problem
  • Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.
  • Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
  • Librations of central configurations and braided Saturn rings
  • Linear stability of the elliptic Lagrangian triangle solutions in the three-body problem
  • Bifurcation of central configuration in the \(2N+1\) body problem
  • LINEAR STABILITY IN THE 1 + N-GON RELATIVE EQUILIBRIUM
  • Lectures on Mechanics
  • Generic bifurcation of Hamiltonian vector fields with symmetry
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