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Topological bifurcations of central configurations in the \(N\)-body problem

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Publication:1926465
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DOI10.1016/j.nonrwa.2012.07.027zbMath1295.70006OpenAlexW2031739130MaRDI QIDQ1926465

Ernesto Pérez-Chavela, Sławomir Rybicki

Publication date: 28 December 2012

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2012.07.027


zbMATH Keywords

existenceglobal bifurcationlocal bifurcationcritical orbit


Mathematics Subject Classification ID

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


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Topological bifurcations of spatial central configurations in the \(N\)-body problem ⋮ Equivariant degree method for analysis of Hopf bifurcation of relative periodic solutions: case study of a ring of oscillators ⋮ Bifurcations of critical orbits of invariant potentials with applications to bifurcations of central configurations of the \(N\)-body problem ⋮ Computer assisted proofs for transverse collision and near collision orbits in the restricted three body problem ⋮ Exclusion of quadruple collisions in minimizers of the planar equal-mass N-body problem



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