6 citations · 17 across the 8 of their papers we have counts for
5 papers · 1 filter
Continuation of fixed points and bifurcations from ODE to flow-kick disturbance models
Katherine Meyer, Horace Fusco, Collin Smith +1
Some ODE models treat ecological disturbance as a continuous process, even disturbances such as fire that occur almost instantaneously on the timescale of system recovery. Alternat…
Rethinking the Definition of Rate-Induced Tipping
Alanna Hoyer-Leitzel, Alice Nadeau
The current definition of rate-induced tipping is tied to the idea of a pullback attractor limiting in forward and backward time to a stable quasi-static equilibrium. Here we propo…
Symmetric relative equilibria with one dominant and four infinitesimal point vortices
Alanna Hoyer-Leitzel, Sophie Phuong Le
We investigate the symmetry of point vortices with one dominant vortex and four vortices with infinitesimal circulations in the (1+4)-vortex problem, a subcase of the five-vortex p…
Detecting transient rate-tipping using Steklov averages and Lyapunov vectors
Alanna Hoyer-Leitzel, Alice Nadeau, Andrew Roberts +1
A wide variety of physical systems ranging from the firing of neurons to eutrophication of lakes to the presence of Arctic summer sea ice exhibit a phenomenon known as tipping. In…
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…