101 citations · 319 across the 30 of their papers we have counts for
3 papers · 1 filter
An SBV relaxation of the Cross-Newell energy for modeling stripe patterns and their defects
Shankar C. Venkataramani
We investigate stripe patterns formation far from threshold using a combination of topological, analytic, and numerical methods. We first give a definition of the mathematical stru…
Nature's forms are frilly, flexible, and functional
Kenneth K. Yamamoto, Toby L. Shearman, Erik J. Struckmeyer +2
A ubiquitous motif in nature is the self-similar hierarchical buckling of a thin lamina near its margins. This is seen in leaves, flowers, fungi, corals, and marine invertebrates.…
Pattern dark matter and galaxy scaling relations
Shankar C. Venkataramani, Alan C. Newell
We argue that a natural explanation for a variety of robust galaxy scaling relations comes from the perspective of pattern formation and self-organization as a result of symmetry b…