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math.DS2013
Global bifurcation of planar and spatial periodic solutions in the restricted n-body problem
C. García-Azpeitia, J. Ize
The paper deals with the study of a satellite attracted by n primary bodies, which form a relative equilibrium. We use orthogonal degree to prove global bifurcation of planar and s…
math.DS2013
Global bifurcation of polygonal relative equilibria for masses, vortices and dNLS oscillators
C. García-Azpeitia, J. Ize
Given a regular polygonal arrangement of identical objects, turning around a central object (masses, vortices or dNLS oscillators), this paper studies the global bifurcation of rel…
math.DS2013
Bifurcation of periodic solutions from a ring configuration in the vortex and filament problems
C. García-Azpeitia, J. Ize
This paper gives an analysis of the movement of n+1 almost parallel filaments or vortices. Starting from a polygonal equilibrium of n vortices with equal circulation and one vortex…