101 citations · 319 across the 30 of their papers we have counts for
Showing math.APShow all
3 papers · 1 filter
math.AP2017★ 4 cited
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…
math.AP2007★ 17 cited
A variational theory for point defects in patterns
N. M. Ercolani, S. C. Venkataramani
We derive a rigorous scaling law for minimizers in a natural version of the regularized Cross-Newell model for pattern formation far from threshold. These energy-minimizing solutio…
math.AP2003★ 1 cited
The energy of crumpled sheets in Foppl-von Karman plate theory
Shankar Venkataramani
We study investigate a long, thin rectangular elastic membrane that is bent through an angle , using the Foppl--von Karman ansatz in a geometrically linear setting. We study t…