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Global bifurcation of planar and spatial periodic solutions from the polygonal relative equilibria for the n-body problem

https://doi.org/10.1016/j.jde.2012.08.022

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What this work says

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Symmetric Trajectories for the 2N-Body Problem with Equal Masses

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Hip-hop solutions of the 2N-body problem

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Global bifurcation of planar and spatial periodic solutions in the restricted n-body problem

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Classical periodic solutions of the equal-mass 2n-body problem, 2n-ion problem and the n-electron atom problem

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Transitive decomposition of symmetry groups for the n-body problem

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Erratum

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Degree Theory for Equivariant Maps. I

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Bifurcations of Relative Equilibria in the N -Body and Kirchhoff Problems

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Hamiltonian Systems and Celestial Mechanics

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LINEAR STABILITY IN THE 1 + N-GON RELATIVE EQUILIBRIUM

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Equivariant degree for Abelian actions. Part III: orthogonal maps

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A Remarkable Periodic Solution of the Three-Body Problem in the Case of Equal Masses

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Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Symmetries and choreographies in families that bifurcate from the polygonal relative equilibrium of the n-body problem

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Bifurcations of critical orbits of invariant potentials with applications to bifurcations of central configurations of the N -body problem

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Braids of the N -body problem I: cabling a body in a central configuration

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Symmetry-breaking for a restricted n-body problem in the Maxwell-ring configuration

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Choreographies in the discrete nonlinear Schrödinger equations

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Symmetries of nonlinear vibrations in tetrahedral molecular configurations

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Relative periodic solutions of the $ n $ -vortex problem on the sphere

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Global bifurcation of traveling waves in discrete nonlinear Schrödinger equations

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Relative periodic solutions of the n-vortex problem on the sphere

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From the Lagrange polygon to the figure eight I: Numerical evidence extending a conjecture of Marchal

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