10 citations · 27 across the 12 of their papers we have counts for
6 papers · 1 filter
Can large inhomogeneities generate target patterns?
Gabriela Jaramillo
We study the existence of target patterns in oscillatory media with weak local coupling and in the presence of an impurity, or defect. We model these systems using a viscous eikona…
Rotating spirals in oscillatory media with nonlocal interactions and their normal form
Gabriela Jaramillo
Biological and physical systems that can be classified as oscillatory media give rise to interesting phenomena like target patterns and spiral waves. The existence of these structu…
Target Patterns in a 2-D Array of Oscillators with Nonlocal Coupling
Gabriela Jaramillo, Shankar Venkataramani
We analyze the effect of adding a weak, localized, inhomogeneity to a two dimensional array of oscillators with nonlocal coupling. We propose and also justify a model for the phase…
The Effect of Impurities on Striped Phases
Gabriela Jaramillo, Arnd Scheel, Qiliang Wu
We study the effect of algebraically localized impurities on striped phases in one space-dimension. We therefore develop a functional-analytic framework which allows us to cast the…
Inhomogeneities in 3 dimensional oscillatory media
Gabriela Jaramillo
We consider localized perturbations to spatially homogeneous oscillations in dimension 3 using the complex Ginzburg-Landau equation as a prototype. In particular, we will focus on…
Deformation of Striped Patterns by Inhomogeneities
Gabriela Jaramillo, Arnd Scheel
We study the effects of adding a local perturbation in a pattern forming system, taking as an example the Ginzburg-Landau equation with a small localized inhomogeneity in two dimen…