5 papers · 1 filter
Bifurcation of periodic solutions from a ring configuration of discrete nonlinear oscillators
C. García-Azpeitia, J. Ize
This paper gives an analysis of the periodic solutions of a ring of oscillators coupled to their neighbors. We prove the bifurcation of branches of such solutions from a relati…
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…
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…
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…
Global bifurcation of planar and spatial periodic solutions from the polygonal relative equilibria for the n-body problem
C. García-Azpeitia, J. Ize
Given point masses turning in a plane at a constant speed, this paper deals with the global bifurcation of periodic solutions for the masses, in that plane and in space. As a s…