16 citations · 44 across the 12 of their papers we have counts for
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Subharmonic Solutions In Reversible Non-Autonomous Differential Equations
Izuchukwu Eze, Carlos Garcia-Azpeitia, Wieslaw Krawcewicz +1
We study the existence of subharmonic solutions in the system , where and is an even and -periodic function in time. Under so…
Braids of the N-body problem by cabling a body in a central configuration
Marine Fontaine, Carlos García-Azpeitia
We prove the existence of periodic solutions of the N=(n+1)-body problem starting with n bodies whose reduced motion is close to a non-degenerate central configuration and replacin…
Choreographies in the -vortex problem
Renato Calleja, Eusebius Doedel, Carlos García-Azpeitia
We consider the equations of motion of vortices of equal circulation in the plane, in a disk and on a sphere. The vortices form a polygonal equilibrium in a rotating frame of r…
Solutions of Fixed Period in the Nonlinear Wave Equation on Networks
Carlos García-Azpeitia, Wieslaw Krawcewicz, Yanli Lv
The wave equation on network is defined by , where and the graph Laplacian is an operator on functions on vertices. We…
Choreographies in the Discrete Nonlinear Schrödinger Equations
Renato Calleja, Eusebius Doedel, Carlos García-Azpeitia +1
We study periodic solutions of the discrete nonlinear Schrödinger equation (DNLSE) that bifurcate from a symmetric polygonal relative equilibrium containing sites. With special…
Symmetries and choreographies in families bifurcating from the polygonal relative equilibrium of the -body problem
Renato Calleja, Eusebius Doedel, Carlos García-Azpeitia
We use numerical continuation and bifurcation techniques in a boundary value setting to follow Lyapunov families of periodic orbits. These arise from the polygonal system of bo…