46 citations · 106 across the 6 of their papers we have counts for
7 papers
Collapse of generalized Euler and surface quasi-geostrophic point-vortices
Gualtiero Badin, Anna M. Barry
Point vortex models are presented for the generalized Euler equations, which are characterized by a fractional Laplacian relation between the active scalar and the streamfunction.…
Existence, stability, and symmetry of relative equilibria with a dominant vortex
Anna Barry, Alanna Hoyer-Leitzel
We analyze existence, stability, and symmetry of point vortex relative equilibria with one dominant vortex and N vortices with infinitesimal circulation. The dimension of the probl…
Generating Functions, Polynomials and Vortices with Alternating Signs in Bose-Einstein Condensates
Anna M. Barry, F. Hajir, P. G. Kevrekidis
In this work, we construct suitable generating functions for vortices of alternating signs in the realm of Bose-Einstein condensates. In addition to the vortex-vortex interaction i…
Nonsmooth frameworks for an extended Budyko model
Anna M. Barry, Esther Widiasih, Richard McGehee
In latitude-dependent energy balance models, ice-free and ice-covered conditions form physical boundaries of the system. With carbon dioxide treated as a bifurcation parameter, the…
Few-Particle Vortex Cluster Equilibria in Bose-Einstein Condensates: Existence and Stability
Anna M. Barry, P. G. Kevrekidis
Motivated by recent experimental and theoretical studies of fewparticle vortex clusters in Bose-Einstein condensates, we consider the ordinary differential equations of motion and…
A showcase of torus canards in neuronal bursters
John Burke, Mathieu Desroches, Anna M. Barry +2
Rapid action potential generation --- spiking --- and alternating intervals of spiking and quiescence --- bursting --- are two dynamic patterns observed in neuronal activity. In co…
Relative Equilibria of the -Vortex Problem
Anna M. Barry, Glen R. Hall, C. Eugene Wayne
We examine existence and stability of relative equilibria of the -vortex problem specialized to the case where vortices have small and equal circulation and one vortex has l…