44 citations · 349 across the 26 of their papers we have counts for
29 papers
The impact of a wind switch on the stability of traveling fronts in a reaction-diffusion model of fire propagation
Olivia Chandrasekhar, Christopher K. R. T. Jones, Blake Barker +1
For certain values of the wave speed parameter, evolution equations for the temperature of a region of fuel admit traveling wave solutions describing fire fronts. We consider such…
A Dynamical Systems Approach for Most Probable Escape Paths over Periodic Boundaries
Emmanuel Fleurantin, Katherine Slyman, Blake Barker +1
Analyzing when noisy trajectories, in the two dimensional plane, of a stochastic dynamical system exit the basin of attraction of a fixed point is specifically challenging when a p…
Bifurcation to instability through the lens of the Maslov index
Paul Cornwell, Christopher K. R. T. Jones, Claire Kiers
The Maslov index is a powerful tool for assessing the stability of solitary waves. Although it is difficult to calculate in general, a framework for doing so was recently establish…
The essential spectrum of periodically-stationary solutions of the complex Ginzburg-Landau equation
John Zweck, Yuri Latushkin, Jeremy L. Marzuola +1
We establish the existence and regularity properties of a monodromy operator for the linearization of the cubic-quintic complex Ginzburg-Landau equation about a periodically-statio…
Exponential dichotomies for elliptic PDE on radial domains
Margaret Beck, Graham Cox, Christopher Jones +2
It was recently shown by the authors that a semilinear elliptic equation can be represented as an infinite-dimensional dynamical system in terms of boundary data on a shrinking one…
A dynamical approach to semilinear elliptic equations
Margaret Beck, Graham Cox, Christopher Jones +2
A characterization of a semilinear elliptic partial differential equation (PDE) on a bounded domain in is given in terms of an infinite-dimensional dynamical system.…