C. García-Azpeitia

activity

20132025

n

-vortex problem

16 citations · 44 across the 12 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.DS2018★ 16 cited

Choreographies in the $n$ -vortex problem

Renato Calleja, Eusebius Doedel, Carlos García-Azpeitia

We consider the equations of motion of $n$ 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…

math.DS2018

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 $\partial_{tt} u = Δ_{G} u + g (u)$ , where $u \in R^{n}$ and the graph Laplacian $Δ_{G}$ is an operator on functions on $n$ vertices. We…

math.DS2018★ 4 cited

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 $n$ sites. With special…

Choreographies in the n-vortex problem

Solutions of Fixed Period in the Nonlinear Wave Equation on Networks

Choreographies in the Discrete Nonlinear Schrödinger Equations

Choreographies in the $n$ -vortex problem